# Partial quotients worksheet grade 4

Our free division worksheets start with practicing simple division facts (e.g. 10 ÷2 = 5) and progress to long division with divisors up to 99. Exercises with and without remainders and with missing divisors or dividends are included.

Division flashcards

Topics include:

• Meaning of division & division sentences
• Equal groups
• Division by 2 or 3, 4 or 5, 6 or 7, 8 or 9
• Division facts practice (tables 1-10)
• Division facts practice (tables 1-12)
• Multiplication and division fact families
• Division facts with missing dividend or divisors
• Dividing by 10
• Dividing by 100
• Divide by whole 10s
• Divide by whole hundreds
• Divide 3 or 4 digit numbers by 1 digit numbers (no remainders)
• Division with remainders (1-100)
• Long division: Division facts (1-100), no remainder
• Long division: Division facts (1-100), with remainder
• Division word problems

### Grade 4 mental division worksheets

• Division facts (tables 1-10, 1-12)
• Division facts with missing dividend or divisor
• Divide by 10 or 100
• Divide by whole tens or hundreds
• Divide whole tens or hundreds by 1-digit numbers
• Divide numbers up to 1,000 by 1-digit numbers
• Division with remainders (1-1,000)
• Divide by 10 or 100, with remainders
• Mixed multiplication and division word problems
• Mixed 4 operations word problems

### Grade 4 long division worksheets

• Division facts in long division form
• 2 digit numbers divided by 1-digit numbers, with / without remainders
• 3 digit numbers divided by 1-digit numbers, with / without remainders
• 4 digit numbers divided by 1-digit numbers, with / without remainders

• Divide 3 or 4-digit numbers by 1-digit numbers mentally
• Division with remainder 1-100, 1-1,000
• Dividing by whole tens or hundreds, with remainders
• Long division with 1-digit divisors, no remainders
• Long division with 1-digit divisors, with remainders
• Long division with 2-digit divisors (10-25, 10-99)
• Missing dividend or divisor problems
• Missing factor problems (solve by long division)
• Mixed 4 operations word problems

• 1-10,000 divided by 1-digit  numbers, no remainder
• 1-100,000 divided by 1-digit  numbers, with remainder
• Long division by 2-digit divisors
• Missing dividend or divisor problems
• Missing factor problems (solve by long division)

### Related topics

Multiplication worksheets

Fractions worksheets

Sample Division Worksheet

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## Division Worksheets

### Printable Division Worksheets for Teachers

Here is a graphic preview for all of the division worksheets. You can select different variables to customize these division worksheets for your needs. The division worksheets are randomly created and will never repeat so you have an endless supply of quality division worksheets to use in the classroom or at home. Our division worksheets are free to download, easy to use, and very flexible.

### Quick Link for All Division Worksheets

Click the image to be taken to that Division Worksheet.

### Detailed Description for All Division Worksheets

Divisibility Rules Handout Worksheet
This divisibility rules handout worksheet will generate a handout on the rules of divisibility of a number by 2, 3, 4, 5, 6, and 9. This divisibility rules handout worksheet will aid the children in learning the rules.

Divisibility Test Division Worksheets
These division worksheets generate a matrix of numbers for the children to determine if the are divisible by 2, 3, 4, 5, 6, and 9. These division worksheets may be configured with 2, 3, or 4 digit numbers. You may also allow numbers that don't meet any of the divisibility test to increase the difficulty for the children. A divisibility rule worksheet will be created to aid the children in learning the rules.

Divisibility - Pick Divisors Worksheets
This Division Worksheet generates a matrix of numbers for the children to determine if certain numbers are divisible by the divisors you pick. The problems may be configured with 2, 3, or 4 digit numbers. You may also allow pick the divisors to test.

Single or Multiple Digit Division Worksheets
Horizontal Format

These single or multiple digit division worksheets are configured in a horizontal problem format. The numbers for each divisor and quotient may be individually varied to generate different sets of division worksheets. These division worksheets will not have any remainders or fractions. These division worksheets can be configured to layout the problems using the division sign, slash (/), or as a long division format. You may select between 20 and 40 problems for these division worksheets.

Long Division Worksheets
Horizontal Format

These long division worksheets the number of digits for the divisors and quotients may be varied from 1 to 3. You may select whether the long division problems have no remainders, remainders, or mixed. These long division worksheet answer keys may be displayed with a remainder or as a fraction. These long division worksheets may have either 9 or 12 problems per worksheet.

Short Division Worksheets
1 Division - Horizontal Format

These short division worksheets are configured in a horizontal problem format. The numbers for the divisors may range from 2 through 9 for these division worksheets. The number of digits in the quotients may be varied from 1 to 3 digits for these division worksheets. You may also select how may digits will be in the dividend as well. The short division problems may be configured with no remainders, all remainders or mixed remainders. The answer key can be displayed with a remainder or as a fraction. You may select between 20 or 24 problems for these division worksheets.

Decimal Long Division Worksheets
Horizontal Format

These decimal division worksheets allows for the number of digits in the divisors to be varied from 1 to 3. You may select the number of decimals in the dividend for the problems. These decimal division worksheets produce 9 problems per worksheet.

Decimal Divisor Division Worksheets
Horizontal Format

These decimal division worksheet the number of digits for the divisors may be varied between 2 and 3 and the number of decimals in the divisor may be varied between 1 and 2. The decimal divisor division worksheet produces 9 problems per worksheet.

3 Digit Decimal Division Worksheets
Horizontal Format

These Division Worksheets produces problems in which you must divide a 3 digit decimal number by a single digit number. You may select between 12, 15, 18, 21, 24 or 30 problems for these division worksheets.

Mixed Quotient Division Worksheets
These division worksheets will produce problems with mixed formats for the quotient, but keeping the divisor and dividend as whole numbers. You may select either whole numbers, one decimal, two decimals, or a mixture of all types of problems. The division worksheet will produce 9 problems per worksheet.

Division Drills Worksheets

These division drills worksheets contain all of the single digit division problems for one operation on one page. A student should be able to work out the division problems on these division worksheets correctly in the allowed time.

Division Times Tables Timed Drills Worksheets
These division worksheets are for testing the students knowledge of the times tables, but from a division standpoint. The selected times tables will be used as the divisors and quotients in the problems. A student should be able to work out the 60 problems correctly in 3 minutes. You may select which times table to use.

Missing Number Division Worksheets
Horizontal Format

These division worksheets are a good introduction for algebra concepts. You may select various types of characters to replace the missing numbers of the division problems on the division worksheets. The format of the division worksheets are horizontal and the answers range from 0 to 99. These division worksheets can be configured to layout the division problems using the division sign or a slash (/) format. You may select between 12 and 30 problems for these division worksheets.

Negative Number Division Worksheets
Horizontal Format

These division worksheets may be configured for the divisors and quotients in the range of -12 to +12. The format of the division worksheets are horizontal. You may select between 20 and 40 problems for these division worksheets.

Writing Division Problems in Different Formats Division Worksheets
These division worksheets will produce problem sets to teach kids the three common division formats. These division worksheets will generate 8 problems in the long division, horizontal, and fraction format.

Horizontal and Long Division Worksheets
These division worksheets will producing problem sets with horizontal and long division types of formats. The numbers for the divisors may range from 2 through 9. The number of digits in the quotients may be varied from 1 or 2 digits. You may also select how may digits will be in the dividend as well. You may select between 10 or 12 problems for each division worksheets.

Division Facts Tables Worksheet
This division facts table charts are colorful and a great resource for teaching kids their division facts tables. A complete set of printable division facts tables for 1 to 12.

Sours: https://www.math-aids.com/Division/

## Division using Models

Embedded in this unit of printable division worksheets are varied strategies for 3rd grade, 4th grade, and 5th grade kids to learn the basics of division with a range of hands-on tasks, such as cut-and-paste sharing activity, drawing objects for equal sharing, division by grouping objects, dividing by distributing objects in rows and columns of the array model, number line, bar model and area model. Gain a free access to some of these tasks.

Division by Sharing | Cut-and-Paste Activity

Spin a story around the illustrations to introduce the concept of division. Snip the pictures, divide them into two equal parts and glue them in the columns and learn division by equal sharing in the process.

Division by Sharing | Drawing Activity

Blend fun and learning with this alternative pdf exercise for grade 3 kids. Read the scenario carefully, share the objects evenly, draw the correct number of specified objects in each group to complete the worksheets.

Bar Model

Pictorial models to divide numbers is an interesting strategy and most helpful in solving word problems. Represent the division equation as a rectangular bar and divide the bar into equal parts to find the quotient.

Representing Division in 3 Models | Activity

Recapitulate three division methods with this set of interesting 3-in-1 activity worksheet pdfs. Solve for the quotient by representing each division equation as a grouping model, an array model and on a number line.

Area Models Worksheets | Without Remainder – Level 1

Visually represent the division equation as a rectangle with these level 1 area models. Figure out the quotient by dividing the given 3-digit numbers inside the rectangle by the single-digit divisors. Repeat the process until you get a 0.

Area Models Worksheets | Without Remainder – Level 2

With double-digit divisors in place, these printable area models worksheets help 4th grade kids relate divisor and quotient to the width and length of the rectangle and the dividend to the area of the rectangle. Go on dividing!

Area Models Worksheets | With Remainder – Level 1

Direct students of grade 4 and grade 5 to solve the division equation using the area or box method by repeatedly subtracting the multiples until they can't be subtracted anymore and add up the partial quotients and find the remainder.

Area Models Worksheets | With Remainder – Level 2

These level 2 area models pdf worksheets present the area and the width of a rectangle and help kids identify the length by performing division. They continue dividing the area by width until they get a remainder < divisor and write down the quotient obtained as the length.

Division by Grouping Model Worksheets

Familiarize 3rd grade kids with the grouping strategy of division using this set of printable worksheets. Group objects, answer questions based on the model, complete the division statements, figure out left overs and much more.

(27 Worksheets)

Division Array Model Worksheets

Work out the quotient by observing arrays of objects distributed across rows and columns, answer questions, decipher arrays to write a division sentence, solve word problems and draw arrays to bolster division skills.

(16 Worksheets)

Division using a Number Line Worksheets

Interpret the division sentences on the number lines by drawing hops, read the number line and write the division equation, MCQs and many such activities, help develop division skills with ease.

(40 Worksheets)

Sours: https://www.mathworksheets4kids.com/division-models.php
Division Worksheet Homework

## Partial Quotient Division 4th Grade

### Division Models Worksheets | Area Model, Bar Model, Array

› Best Education From www.mathworksheets4kids.com

Embedded in this unit of printable division worksheets are varied strategies for 3rd grade, 4thgrade, and 5th grade kids to learn the basics of division with a range of hands-on tasks, such as cut-and-paste sharing activity, drawing objects for equal sharing, division by grouping objects, dividing by distributing objects in rows and columns of the array model, number line, bar model and area ...

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## Free 4th Grade Math Worksheets

Topic: Place Value, Rounding, and Algorithms for Addition and Subtraction

Topic: Unit Conversions and Problem Solving with Metric Measurement

Topic: Multi-Digit Multiplication and Division

• Investigate and use the formulas for area and perimeter of rectangles | Key

• Solve multiplicative comparison word problems | Key

• Practice: Squares and Unknown Factors | Key

• Solve area and perimeter real-world problems | Key

• Interpret and represent patterns when multiplying by 10, 100, and 1,000 in arrays and numerically | Key

• Multiply multiples of 10, 100, and 1,000 | Key

• Multiply two-digit multiples of 10 by two-digit multiples of 10 with the area model | Key

• Practice: Multiply Multiples of 10, 100, and 1,000 | Key

• Use place value disks to represent two-digit by one-digit multiplication | Key

• Multiply three- and four-digit numbers by one-digit numbers applying the standard algorithm | Key

• Practice: Multiplying 3- and 4-digit numbers | Key

• Connect the area model and the partial products method to the standard algorithm| Key

• Solve two-step word problems | Key

• Practice: Mental Multiplication | Key

• Use multiplication, addition, or subtraction to solve multi-step word problems | Key

• Solve division word problems with remainders | Key

• Understand and solve division problems with a remainder using the array and area models | Key

• Represent and solve division problems requiring decomposing a remainder in the tens | Key

• Find whole number quotients and remainders | Key

• Practice: Mental Division | Key

• Explain remainders by using place value understanding and models | Key

• Solve division problems without remainders using the area model | Key

• Practice: Division with Remainders | Key

• Solve division problems with remainders using the area model | Key

• Find factor pairs for numbers to 100 | Key

• Use division and the associative property to test for factors | Key

• Determine if a whole number is a multiple of another number | Key

• Divide multiples of 10, 100, and 1,000 by single-digit numbers | Key

• Practice: Circle the Prime Number | Key

• Represent and solve three-digit dividend division with divisors of 2, 3, 4, and 5 numerically | Key

• Solve division problems with a zero in the dividend or with a zero in the quotient | Key

• Interpret division word problems as either number of groups unknown or group size unknown | Key

• Solve one-step division word problems | Key

• Multiply two-digit multiples of 10 by two-digit numbers using a place value chart | Key

• Multiply two-digit multiples of 10 by two-digit numbers using the area model | Key

• Multiply two-digit by two-digit numbers using four partial products | Key

• Topic Assessment | Key

4th Grade Math 4.8, Divide Using Partial Quotients

## Partial Quotients Division Method

Related Pages
Long Division
Lessons and Worksheets for Common Core Grade 4 Math

### How To Divide Using The Partial Quotients Method?

The partial quotients method (sometimes also called chunking) uses repeated subtraction to solve simple division questions.

When dividing a large number (dividend) by a small number (divisor).

• Step 1: Subtract from the dividend an easy multiple (for example 100×, 10×, 5× 2×, etc.) of the divisor.
• Step 2: Repeat the subtraction until the large number has been reduced to zero or the remainder is less than the divisor.
• Step 3: Add up the multipliers of the divisor that were used in the repeated subtraction to find the answer of the division.

The following diagram shows how to divide using the partial quotient method. Scroll down the page for more examples and solutions.

Demonstration to help parents teach or assist in using partial quotients division at home
Example:
483 ÷ 13

Demonstration of the partial quotients division method
Examples:
185 ÷ 8
2185 ÷ 43

#### Everyday Math Partial Quotients Algorithm

Examples:
786 ÷ 5

How to divide numbers using the partial quotients algorithm?
Getting used to this method could help you mentally compute lots of real-world problems.
Examples:
78 ÷ 6
472 ÷ 4
739 ÷ 22

#### Everyday Math Partial Quotients Division Method With Whole Numbers

Example:
195 ÷ 12

Outline of partial quotients
Example:
381 ÷ 4

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Sours: https://www.onlinemathlearning.com/partial-quotients.html

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