Division with Remainders Practice Worksheet

Free printable division with remainders practice worksheet for grade 4 mathematics: problems, solutions, and step-by-step guidance.

Worksheet Overview
\(Dividend = Divisor × Quotient + Remainder\)
Division Algorithm
Worksheet Information:
  • Grade Level: 4th Grade
  • Subject: Mathematics
  • Topic: Division with Remainders
  • Number of Problems: 30
  • Difficulty: Progressive (Easy to Hard)
Key Terms:

Dividend: The number being divided (the total amount)

Divisor: The number by which we divide (the group size)

Quotient: The result of division (number of complete groups)

Remainder: What's left over after division (leftover items)

Division Algorithm: The fundamental relationship: Dividend = Divisor × Quotient + Remainder

Practice Problems
Problem Set:
  1. Easy Problems (1-10): 2-digit dividends ÷ 1-digit divisors
  2. Medium Problems (11-20): 2-digit dividends ÷ 1-digit divisors
  3. Hard Problems (21-30): 3-digit dividends ÷ 1-digit divisors
Problem Table:
Problem # Division Problem Your Answer
1 13 ÷ 4
2 23 ÷ 5
3 37 ÷ 6
4 45 ÷ 7
5 58 ÷ 8
6 67 ÷ 9
7 73 ÷ 6
8 84 ÷ 7
9 92 ÷ 8
10 103 ÷ 9
11 123 ÷ 5
12 147 ÷ 6
13 164 ÷ 7
14 183 ÷ 8
15 204 ÷ 9
Solutions and Guidance
Step-by-Step Example
Problem: 23 ÷ 5
Let's solve this step by step:
Step 1: Identify components

Dividend = 23, Divisor = 5

Step 2: Estimate quotient

How many times does 5 fit in 23? 5 × 4 = 20, 5 × 5 = 25 (too big)

Step 3: Calculate product

5 × 4 = 20

Step 4: Find remainder

23 - 20 = 3

Step 5: Verify remainder is smaller

3 < 5 ✓

Step 6: Check using algorithm

5 × 4 + 3 = 20 + 3 = 23 ✓

23 ÷ 5 = 4 remainder 3
Answer Key
1. 13 ÷ 4 = 3 remainder 1
2. 23 ÷ 5 = 4 remainder 3
3. 37 ÷ 6 = 6 remainder 1
4. 45 ÷ 7 = 6 remainder 3
5. 58 ÷ 8 = 7 remainder 2
6. 67 ÷ 9 = 7 remainder 4
7. 73 ÷ 6 = 12 remainder 1
8. 84 ÷ 7 = 12 remainder 0
9. 92 ÷ 8 = 11 remainder 4
10. 103 ÷ 9 = 11 remainder 4
Tips and Strategies
Tip 1: Use multiplication facts to estimate quotients quickly.
Tip 2: Always verify remainder is smaller than divisor.
Tip 3: Check your answer using the division algorithm.
Tip 4: Practice regularly to build fluency.
Common Mistakes to Avoid:
  • Forgetting to check if remainder is smaller than divisor
  • Miscalculating multiplication facts during division
  • Confusing quotient with remainder in the final answer
  • Not verifying answers using the division algorithm
Success Strategy: Master basic facts first, then increase complexity.
Practice Pattern: Complete 5-10 problems daily for consistent improvement.

Questions & Answers

Question: How can I check if my division answer is correct?

Answer: Always verify your division using the division algorithm:

Formula: Dividend = Divisor × Quotient + Remainder

Example: For 23 ÷ 5 = 4 remainder 3

  • Multiply: 5 × 4 = 20
  • Add remainder: 20 + 3 = 23
  • Compare to original: 23 = 23 ✓

Also check: Is the remainder smaller than the divisor? (3 < 5 ✓)

If both checks pass, your answer is correct!

Question: What should I do if I get a remainder that's bigger than the divisor?

Answer: If your remainder is larger than or equal to the divisor, you made an error:

  • Go back and check your multiplication facts
  • Make sure you chose the correct quotient
  • Recalculate the product of divisor and quotient
  • Recompute the subtraction to find the remainder
  • Remember: The remainder must always be smaller than the divisor!

Example: If you calculated 17 ÷ 5 = 2 remainder 7, that's wrong because 7 > 5. The correct answer is 17 ÷ 5 = 3 remainder 2.

Question: How can I get faster at solving division problems?

Answer: To improve speed at division:

  • Master multiplication facts: Know your times tables fluently
  • Practice estimation: Quickly determine how many times a number fits
  • Recognize patterns: Notice relationships between numbers
  • Use mental math: Break numbers into easier parts
  • Practice regularly: Consistent practice builds fluency

Remember: Accuracy comes before speed!