Division Worksheets: Dividing Multi-Digit Numbers in Grade 4

Free printable worksheets with exercises, examples, and solutions for practicing division of multi-digit numbers.

Worksheet Overview

Division Practice Worksheets

These worksheets provide comprehensive practice for dividing multi-digit numbers using long division methods.

Each worksheet includes step-by-step examples and practice problems with solutions.

\( \text{Dividend} \div \text{Divisor} = \text{Quotient} \) remainder \( \text{Remainder} \)
Division Formula

Worksheet Contents:

  • Basic division facts review
  • Long division with 1-digit divisors
  • Division with remainders
  • Two-digit divisors
  • Word problems
  • Answer keys included
Key Definitions:

Dividend: The number being divided

Divisor: The number we divide by

Quotient: The result of division

Remainder: What's left over after division

Long Division: Step-by-step method for dividing large numbers

Place Value: Understanding tens, hundreds, and thousands

Download Free PDF Worksheet

Worksheet Features:

  • Printable format for offline practice
  • Progressive difficulty levels
  • Complete answer keys provided
  • Space for showing work
  • Aligned with grade 4 standards
Worksheet Problems: 1 to 3
1 Basic Division
Worksheet Problem 1: Basic Division
Divide: 84 ÷ 4

Instructions:

Show your work using long division steps.

Set up the long division: 4 ) 84

Work space for showing steps:

Problem Setup:

4 ) 84

Solution Steps:

1 Divide: How many times does 4 go into 8? Answer: 2
2 Multiply: 2 × 4 = 8
3 Subtract: 8 - 8 = 0
4 Bring Down: Bring down the 4
5 Divide: How many times does 4 go into 4? Answer: 1
6 Multiply: 1 × 4 = 4
7 Subtract: 4 - 4 = 0

Answer:

84 ÷ 4 = 21

Check:

21 × 4 = 84 ✓

2 Division with Remainder
Worksheet Problem 2: Division with Remainder
Divide: 97 ÷ 4

Instructions:

Show your work and include the remainder in your answer.

Set up the long division: 4 ) 97

Work space for showing steps:

Problem Setup:

4 ) 97

Solution Steps:

1 Divide: How many times does 4 go into 9? Answer: 2
2 Multiply: 2 × 4 = 8
3 Subtract: 9 - 8 = 1
4 Bring Down: Bring down the 7 to make 17
5 Divide: How many times does 4 go into 17? Answer: 4
6 Multiply: 4 × 4 = 16
7 Subtract: 17 - 16 = 1

Answer:

97 ÷ 4 = 24 remainder 1

Check:

(24 × 4) + 1 = 96 + 1 = 97 ✓

3 Three-Digit Division
Worksheet Problem 3: Three-Digit Division
Divide: 486 ÷ 3

Instructions:

Show all long division steps for this three-digit dividend.

Set up the long division: 3 ) 486

Work space for showing steps:

Problem Setup:

3 ) 486

Solution Steps:

1 Divide: How many times does 3 go into 4? Answer: 1
2 Multiply: 1 × 3 = 3
3 Subtract: 4 - 3 = 1
4 Bring Down: Bring down the 8 to make 18
5 Divide: How many times does 3 go into 18? Answer: 6
6 Multiply: 6 × 3 = 18
7 Subtract: 18 - 18 = 0
8 Bring Down: Bring down the 6
9 Divide: How many times does 3 go into 6? Answer: 2
10 Multiply: 2 × 3 = 6
11 Subtract: 6 - 6 = 0

Answer:

486 ÷ 3 = 162

Check:

162 × 3 = 486 ✓

Worksheet Problems: 4 to 5
4 Division with Zeros
Worksheet Problem 4: Division with Zeros
Divide: 804 ÷ 4

Instructions:

Pay special attention when you encounter zeros in the dividend.

Set up the long division: 4 ) 804

Work space for showing steps:

Problem Setup:

4 ) 804

Solution Steps:

1 Divide: How many times does 4 go into 8? Answer: 2
2 Multiply: 2 × 4 = 8
3 Subtract: 8 - 8 = 0
4 Bring Down: Bring down the 0
5 Divide: How many times does 4 go into 0? Answer: 0
6 Write 0 in quotient: Put 0 in the tens place
7 Bring Down: Bring down the 4
8 Divide: How many times does 4 go into 4? Answer: 1
9 Multiply: 1 × 4 = 4
10 Subtract: 4 - 4 = 0

Answer:

804 ÷ 4 = 201

Check:

201 × 4 = 804 ✓

5 Word Problem
Worksheet Problem 5: Word Problem
A school has 365 students. They want to divide them equally among 5 classrooms. How many students will be in each classroom?

Instructions:

Identify the dividend and divisor from the word problem, then solve.

Work space for showing steps:

Problem Analysis:

Total students (dividend): 365

Number of classrooms (divisor): 5

Question: How many students per classroom?

Solution Steps:

1 Set up: 365 ÷ 5
2 Divide: How many times does 5 go into 3? Answer: 0 (go to 36)
3 Divide: How many times does 5 go into 36? Answer: 7
4 Multiply: 7 × 5 = 35
5 Subtract: 36 - 35 = 1
6 Bring Down: Bring down the 5 to make 15
7 Divide: How many times does 5 go into 15? Answer: 3
8 Multiply: 3 × 5 = 15
9 Subtract: 15 - 15 = 0

Answer:

Each classroom will have 73 students.

Check:

73 × 5 = 365 ✓

Worksheet Complete Summary
\( \text{Dividend} = \text{Divisor} \times \text{Quotient} + \text{Remainder} \)
Division Verification

Complete Division Process

This worksheet series covers all aspects of multi-digit division, from basic concepts to complex word problems.

Key definitions:

Division: Splitting a number into equal groups

Long Division: Methodical approach to divide multi-digit numbers

Remainder: Amount left over after division

Place Value: Position of digits determines their value

Estimation: Approximating answers before calculating

Fact Families: Related multiplication and division facts

Complete methodology:
  1. Understand the problem: Identify what is being asked
  2. Estimate: Make a reasonable guess for the answer
  3. Set up: Write dividend inside division bracket, divisor outside
  4. Divide: See how many times divisor goes into first digit(s)
  5. Multiply: Multiply divisor by quotient digit
  6. Subtract: Subtract product from current dividend part
  7. Bring down: Bring down next digit
  8. Repeat: Continue until no more digits to bring down
  9. Check: Verify using multiplication
Problem Type
Example
Answer
Method
Basic Division
84 ÷ 4
21
DMSBR
With Remainder
97 ÷ 4
24 r1
DMSBR + remainder
Three-Digit
486 ÷ 3
162
Extended DMSBR
Tip 1: Estimate first! 486 ÷ 3 is close to 500 ÷ 3 ≈ 167, so expect answer near 167.
Tip 2: If divisor doesn't go into current number, write 0 and bring down next digit.
Tip 3: Always verify by multiplying quotient × divisor + remainder = dividend.
Tip 4: Practice basic facts (multiplication tables) to speed up division.
Tip 5: Use fact families: if 3 × 4 = 12, then 12 ÷ 3 = 4 and 12 ÷ 4 = 3.

Complete Answer Key:

  • Problem 1: 84 ÷ 4 = 21
  • Problem 2: 97 ÷ 4 = 24 remainder 1
  • Problem 3: 486 ÷ 3 = 162
  • Problem 4: 804 ÷ 4 = 201
  • Problem 5: 365 ÷ 5 = 73 students per classroom
Download Complete PDF Worksheet

Questions & Answers

Question: How should I use these worksheets to practice division effectively?

Answer: To use these worksheets effectively:

  • Start with easier problems: Build confidence with basic division
  • Show all work: Write out each step of long division
  • Check answers: Verify using multiplication
  • Practice regularly: Do a few problems daily
  • Review mistakes: Understand why you got a problem wrong
  • Move to harder problems: Progress to more complex division

The PDF format allows you to print and practice offline with plenty of space to show your work.

Question: Are these worksheets suitable for homeschooling and independent practice?

Answer: Yes, these worksheets are perfect for homeschooling and independent practice because they:

  • Include clear instructions for each problem
  • Provide step-by-step examples
  • Have progressive difficulty levels
  • Include answer keys for self-checking
  • Align with grade 4 curriculum standards
  • Allow for repeated practice

The structured approach makes them ideal for building division skills systematically.

Question: What should I do if I get stuck on a problem in the worksheet?

Answer: If you get stuck on a worksheet problem:

  • Go back to examples: Review the step-by-step examples provided
  • Try a simpler problem: Work through easier problems first
  • Check your steps: Make sure each division step is correct
  • Verify your answer: Multiply to see if it checks
  • Ask for help: Talk to your teacher or parent
  • Take a break: Come back to the problem later

Remember, making mistakes is part of learning - use them as opportunities to improve.