Division with Remainders Practice Worksheet for 4th Grade Students

Comprehensive worksheet with 12 practice problems on division with remainders: basic division, long division, word problems, and verification exercises with step-by-step solutions.

Worksheet: Division with Remainders (Grade 4)

Instructions:

Solve each problem below. Show your work using the division algorithm: Dividend = (Divisor × Quotient) + Remainder. Write your answer as "quotient R remainder".

1 Basic Division
1
Solve: 25 ÷ 4
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Work Shown:

4 × 6 = 24

25 - 24 = 1

So 25 ÷ 4 = 6 R 1

Verification:

(4 × 6) + 1 = 24 + 1 = 25 ✓

2 Basic Division
2
Solve: 38 ÷ 6
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Work Shown:

6 × 6 = 36

38 - 36 = 2

So 38 ÷ 6 = 6 R 2

Verification:

(6 × 6) + 2 = 36 + 2 = 38 ✓

3 Long Division
3
Solve: 57 ÷ 8 using long division
______
8 ) 57
- 56
----
1
Work Shown:

8 × 7 = 56

57 - 56 = 1

So 57 ÷ 8 = 7 R 1

Verification:

(8 × 7) + 1 = 56 + 1 = 57 ✓

4 Long Division
4
Solve: 73 ÷ 9 using long division
______
9 ) 73
- 72
----
1
Work Shown:

9 × 8 = 72

73 - 72 = 1

So 73 ÷ 9 = 8 R 1

Verification:

(9 × 8) + 1 = 72 + 1 = 73 ✓

Worksheet Problems (Continued)
5 Word Problem
5
Sarah has 47 stickers to share equally among 6 friends. How many stickers does each friend get and how many are left over?
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Division with Remainders Worksheet Grade 4 | Practice Exercises | Mathematics Grade 4

Division with Remainders Practice Worksheet for 4th Grade Students

Comprehensive worksheet with 10 challenging practice problems on division with remainders: long division, word problems, and verification exercises.

Worksheet: Division with Remainders (Grade 4)

Instructions:

Solve each problem below. Show your work using long division method. Write your answer as "quotient R remainder". Verify your answer using: Dividend = (Divisor × Quotient) + Remainder

1 Long Division Practice
1
Calculate: 84 ÷ 6
______
6 ) 84
- 6
--
24
- 24
---
0
Work shown:

Step 1: 6 goes into 8 once (6 × 1 = 6)

Step 2: 8 - 6 = 2, bring down 4 to make 24

Step 3: 6 goes into 24 four times (6 × 4 = 24)

Step 4: 24 - 24 = 0

So 84 ÷ 6 = 14 R 0

Verification:

(6 × 14) + 0 = 84 + 0 = 84 ✓

2 Long Division Practice
2
Calculate: 97 ÷ 8
______
8 ) 97
- 8
--
17
- 16
---
1
Work shown:

Step 1: 8 goes into 9 once (8 × 1 = 8)

Step 2: 9 - 8 = 1, bring down 7 to make 17

Step 3: 8 goes into 17 twice (8 × 2 = 16)

Step 4: 17 - 16 = 1

So 97 ÷ 8 = 12 R 1

Verification:

(8 × 12) + 1 = 96 + 1 = 97 ✓

3 Long Division Practice
3
Calculate: 123 ÷ 9
______
9 ) 123
- 9
--
33
- 27
---
6
Work shown:

Step 1: 9 goes into 12 once (9 × 1 = 9)

Step 2: 12 - 9 = 3, bring down 3 to make 33

Step 3: 9 goes into 33 three times (9 × 3 = 27)

Step 4: 33 - 27 = 6

So 123 ÷ 9 = 13 R 6

Verification:

(9 × 13) + 6 = 117 + 6 = 123 ✓

4 Long Division Practice
4
Calculate: 158 ÷ 7
______
7 ) 158
- 14
--
18
- 14
---
4
Work shown:

Step 1: 7 goes into 15 twice (7 × 2 = 14)

Step 2: 15 - 14 = 1, bring down 8 to make 18

Step 3: 7 goes into 18 twice (7 × 2 = 14)

Step 4: 18 - 14 = 4

So 158 ÷ 7 = 22 R 4

Verification:

(7 × 22) + 4 = 154 + 4 = 158 ✓

Worksheet Problems (Continued)
5 Word Problem
5
A school has 145 students going on a field trip. Buses can carry 12 students each. How many buses are needed? How many students will be on the last bus?
Work shown:

145 ÷ 12 = ?

12 × 12 = 144

145 - 144 = 1

So 12 buses are filled completely, and 1 student needs an additional bus

Therefore, 13 buses are needed, with 1 student on the last bus

Verification:

(12 × 12) + 1 = 144 + 1 = 145 ✓

6 Word Problem
6
A teacher has 89 books to place on shelves. Each shelf holds 8 books. How many full shelves can be filled? How many books will be left over?
Work shown:

89 ÷ 8 = ?

8 × 11 = 88

89 - 88 = 1

So 11 full shelves can be filled with 1 book left over

Verification:

(8 × 11) + 1 = 88 + 1 = 89 ✓

7 Word Problem
7
A factory produces 247 toy cars and packs them in boxes that hold 6 cars each. How many full boxes can be made? How many cars will be left unpacked?
Work shown:

247 ÷ 6 = ?

6 × 41 = 246

247 - 246 = 1

So 41 full boxes can be made with 1 car left unpacked

Verification:

(6 × 41) + 1 = 246 + 1 = 247 ✓

Worksheet Problems (Continued) + Answer Key
8 Word Problem
8
A store has 183 pencils to package in sets of 7. How many complete sets can be made? How many pencils will be left over?
Work shown:

183 ÷ 7 = ?

7 × 26 = 182

183 - 182 = 1

So 26 complete sets can be made with 1 pencil left over

Verification:

(7 × 26) + 1 = 182 + 1 = 183 ✓

9 Challenge Problem
9
A camp has 317 campers and wants to organize them into groups of 15. How many full groups can be formed? How many campers will not fit into a full group?
Work shown:

317 ÷ 15 = ?

15 × 21 = 315

317 - 315 = 2

So 21 full groups can be formed with 2 campers left over

Verification:

(15 × 21) + 2 = 315 + 2 = 317 ✓

10 Challenge Problem
10
A delivery truck has 483 packages to deliver. The truck can carry 18 packages per trip. How many trips will be needed to deliver all packages? How many packages will be on the final trip?
Work shown:

483 ÷ 18 = ?

18 × 26 = 468

483 - 468 = 15

So 26 trips with full loads, and 1 trip with 15 packages

Therefore, 27 trips total, with 15 packages on the final trip

Verification:

(18 × 26) + 15 = 468 + 15 = 483 ✓

Answer Key:
  • 1. 84 ÷ 6 = 14 R 0
  • 2. 97 ÷ 8 = 12 R 1
  • 3. 123 ÷ 9 = 13 R 6
  • 4. 158 ÷ 7 = 22 R 4
  • 5. 13 buses needed, 1 student on last bus
  • 6. 11 full shelves, 1 book left over
  • 7. 41 full boxes, 1 car left over
  • 8. 26 complete sets, 1 pencil left over
  • 9. 21 full groups, 2 campers left over
  • 10. 27 trips total, 15 packages on final trip
    • Division with Remainders - Grade 4 Summary
    Dividend = (Divisor × Quotient) + Remainder
    Division Algorithm
    Grade 4 Division with Remainders
    Core Definitions
  • Dividend: The number being divided (the larger number)
  • Divisor: The number we divide by (the smaller number)
  • Quotient: The result of division (how many times it divides)
  • Remainder: What's left over after division
  • Division Algorithm: The fundamental relationship between all four values
    • Long Division Steps
  • Step 1 (Divide): How many times does divisor go into current number?
  • Step 2 (Multiply): Multiply divisor by the quotient digit
  • Step 3 (Subtract): Subtract the product from current number
  • Step 4 (Bring Down): Bring down the next digit
  • Step 5 (Repeat): Continue until no digits remain
    • Remainder Rules
  • Rule 1: Remainder is always less than the divisor
  • Rule 2: If remainder is 0, division is exact
  • Rule 3: Remainder cannot equal or exceed the divisor
  • Rule 4: Always verify: (Divisor × Quotient) + Remainder = Dividend
    • Examples (Progressive Difficulty)
  • Basic: 24 ÷ 4 = 6 R 0 (exact division)
  • Simple: 25 ÷ 4 = 6 R 1 (remainder = 1)
  • Medium: 83 ÷ 7 = 11 R 6 (larger numbers)
  • Advanced: 317 ÷ 15 = 21 R 2 (multi-digit division)
    • Problem-Solving Strategy
  • Step 1: Read the problem carefully and identify what is being asked
  • Step 2: Determine what numbers represent dividend and divisor
  • Step 3: Perform the division using long division method
  • Step 4: Interpret the quotient and remainder in context
  • Step 5: Verify your answer and check if it makes sense
    • Tips for Success
  • Tip 1: Always write out your long division steps clearly
  • Tip 2: Check that remainder < divisor
  • Tip 3: Use multiplication facts to help with division
  • Tip 4: Always verify your answer using the division algorithm
  • Tip 5: For word problems, answer the specific question asked
    • Common Mistakes to Avoid
  • Mistake 1: Having remainder ≥ divisor
  • Mistake 2: Forgetting to bring down the next digit
  • Mistake 3: Not verifying the answer
  • Mistake 4: Misreading word problems
  • Mistake 5: Arithmetic errors in multiplication or subtraction
    • Real-World Applications
  • Sharing items among people
  • Organizing objects into equal groups
  • Calculating transportation needs
  • Packaging products efficiently
  • Planning events and seating arrangements
    • 137 items
    ÷
    11 per group
    →
    12 groups
    5 left over
    137 ÷ 11 = 12 R 5
    Verification:

    (11 × 12) + 5 = 132 + 5 = 137 ✓

    Questions & Answers

    Question: I'm having trouble with long division. How do I know when to stop bringing down numbers?

    Answer: Great question! You stop bringing down numbers when:

    • You've brought down all the digits from the dividend
    • The number you're working with is smaller than the divisor
    • There are no more digits to bring down

    Once you reach this point, whatever number is left becomes your remainder. Remember the acronym: DMSB (Divide, Multiply, Subtract, Bring down).

    Question: How can I help my child practice division with remainders effectively?

    Answer: Here are effective strategies:

    • Start with concrete examples: Use physical objects like blocks or counters
    • Practice basic facts: Strengthen multiplication facts to support division
    • Use graph paper: Helps keep long division organized
    • Check answers together: Reinforce the verification process
    • Connect to real life: Use word problems that relate to daily activities

    Consistent practice with immediate feedback works best!

    Question: How do I know if my remainder is correct? Sometimes I get confused about whether it's too big.

    Answer: There's a simple rule to check:

    • The remainder must always be smaller than the divisor
    • If your remainder is equal to or bigger than the divisor, you made a mistake
    • Always check: (Divisor × Quotient) + Remainder = Original Dividend

    Example: In 23 ÷ 5 = 4 R 3, check that 3 < 5 ✓

    Then verify: (5 × 4) + 3 = 20 + 3 = 23 ✓