Division by 3-Digit Numbers Worksheets in Grade 4

Free printable worksheets with exercises, examples, and solutions for dividing by 3-digit numbers.

Worksheet Overview

Division by 3-Digit Numbers Worksheets

These worksheets provide comprehensive practice for dividing by 3-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 3-digit divisors
  • Division with remainders
  • Estimation and rounding
  • Word problems
  • Answer keys included
Key Definitions:

Dividend: The number being divided

Divisor: The 3-digit 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

Working with 3-Digit Divisors:

When dividing by 3-digit numbers, estimation becomes crucial for determining the quotient digit.

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 3-Digit Division
Worksheet Problem 1: Basic 3-Digit Division
Divide: 486 ÷ 123

Instructions:

Show your work using long division steps.

Estimation:

Round 123 to 100, 486 to 500: 500 ÷ 100 = 5, so expect answer near 5.

Problem Setup:

Set up the long division: 123 ) 486

Solution Steps:

1 Estimate: How many times does 123 go into 486? About 4 times
2 Multiply: 4 × 123 = 492 (too big, try 3)
3 Multiply: 3 × 123 = 369
4 Subtract: 486 - 369 = 117
5 Check: 117 < 123, so stop dividing

Answer:

486 ÷ 123 = 3 remainder 117

Check:

(3 × 123) + 117 = 369 + 117 = 486 ✓

2 3-Digit Division with Remainder
Worksheet Problem 2: 3-Digit Division with Remainder
Divide: 845 ÷ 215

Instructions:

Show your work and include the remainder in your answer.

Estimation:

Round 215 to 200, 845 to 800: 800 ÷ 200 = 4, so expect answer near 4.

Problem Setup:

Set up the long division: 215 ) 845

Solution Steps:

1 Estimate: How many times does 215 go into 845? About 4 times
2 Multiply: 4 × 215 = 860 (too big, try 3)
3 Multiply: 3 × 215 = 645
4 Subtract: 845 - 645 = 200
5 Check: 200 < 215, so stop dividing

Answer:

845 ÷ 215 = 3 remainder 200

Check:

(3 × 215) + 200 = 645 + 200 = 845 ✓

3 3-Digit Division with Larger Dividend
Worksheet Problem 3: 3-Digit Division with Larger Dividend
Divide: 1248 ÷ 156

Instructions:

Show all long division steps for this larger dividend.

Estimation:

Round 156 to 150, 1248 to 1200: 1200 ÷ 150 = 8, so expect answer near 8.

Problem Setup:

Set up the long division: 156 ) 1248

Solution Steps:

1 Estimate: How many times does 156 go into 1248? About 8 times
2 Multiply: 8 × 156 = 1248
3 Subtract: 1248 - 1248 = 0
4 Check: No remainder

Answer:

1248 ÷ 156 = 8

Check:

8 × 156 = 1248 ✓

Worksheet Problems: 4 to 5
4 Division with Zeros in Quotient
Worksheet Problem 4: Division with Zeros in Quotient
Divide: 1045 ÷ 209

Instructions:

Pay attention when the divisor doesn't go into the current number.

Estimation:

Round 209 to 200, 1045 to 1000: 1000 ÷ 200 = 5, so expect answer near 5.

Problem Setup:

Set up the long division: 209 ) 1045

Solution Steps:

1 Estimate: How many times does 209 go into 1045? About 5 times
2 Multiply: 5 × 209 = 1045
3 Subtract: 1045 - 1045 = 0
4 Check: No remainder

Answer:

1045 ÷ 209 = 5

Check:

5 × 209 = 1045 ✓

5 Word Problem with 3-Digit Divisor
Worksheet Problem 5: Word Problem with 3-Digit Divisor
A factory produces 2,352 widgets. They want to pack them into boxes that hold 147 widgets each. How many boxes will they need?

Instructions:

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

Problem Analysis:

Total widgets (dividend): 2,352

Widgets per box (divisor): 147

Question: How many boxes needed?

Estimation:

Round 147 to 150, 2,352 to 2,400: 2,400 ÷ 150 = 16, so expect answer near 16.

Solution Steps:

1 Set up: 147 ) 2352
2 Estimate: How many times does 147 go into 235? About 1 or 2 times
3 Multiply: 1 × 147 = 147, 2 × 147 = 294 (too big, use 1)
4 Subtract: 235 - 147 = 88
5 Bring Down: Bring down the 2 to make 882
6 Estimate: How many times does 147 go into 882? About 6 times
7 Multiply: 6 × 147 = 882
8 Subtract: 882 - 882 = 0

Answer:

They will need 16 boxes.

Check:

16 × 147 = 2,352 ✓

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

Complete Division Process

This worksheet series covers all aspects of division by 3-digit numbers, from basic concepts to complex word problems.

Key definitions:

Division: Splitting a number into equal groups

Long Division: Methodical approach to divide large 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
486 ÷ 123
3 r117
Estimation + DMSBR
With Remainder
845 ÷ 215
3 r200
Estimation + DMSBR
No Remainder
1248 ÷ 156
8
Exact Division
Tip 1: Estimate first! Round divisor and dividend to make division easier.
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: 486 ÷ 123 = 3 remainder 117
  • Problem 2: 845 ÷ 215 = 3 remainder 200
  • Problem 3: 1248 ÷ 156 = 8
  • Problem 4: 1045 ÷ 209 = 5
  • Problem 5: 2352 ÷ 147 = 16 boxes
Download Complete PDF Worksheet

Questions & Answers

Question: How should I use these worksheets to practice division by 3-digit numbers effectively?

Answer: To use these worksheets effectively:

  • Start with easier problems: Build confidence with basic division
  • Estimate first: Round divisor and dividend to make mental estimates
  • 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 3-digit division problem in the worksheet?

Answer: If you get stuck on a 3-digit division problem:

  • Estimate first: Round divisor and dividend to make it easier
  • 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.