Division with Remainders: Practice Exercises

Comprehensive practice exercises for division with remainders in grade 4 mathematics: worksheets, problems, and skill-building activities.

Practice Overview
\(Dividend = Divisor × Quotient + Remainder\)
Division Algorithm
Practice Structure:
  • Level 1: Basic division facts (20 problems)
  • Level 2: 2-digit dividends (25 problems)
  • Level 3: 3-digit dividends (20 problems)
  • Level 4: Word problems (15 problems)
  • Level 5: Mixed review (30 problems)
Key Components:

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 Guidelines:

• Complete 10-15 problems daily

• Check each answer using the division algorithm

• Time yourself to track improvement

• Review mistakes immediately

• Gradually increase difficulty level

Practice Worksheets
Worksheet Categories:
  1. Basic Facts: Division facts with remainders (10-20 problems)
  2. 2-Digit Practice: 2-digit dividends ÷ 1-digit divisors (15-25 problems)
  3. 3-Digit Practice: 3-digit dividends ÷ 1-digit divisors (10-20 problems)
  4. Word Problems: Real-world applications (8-15 problems)
  5. Mixed Review: All types combined (20-30 problems)
Sample Problems:
13 ÷ 4
23 ÷ 5
37 ÷ 6
45 ÷ 7
58 ÷ 8
67 ÷ 9
123 ÷ 5
247 ÷ 6
Solutions:
13 ÷ 4 = 3 remainder 1 ✓
23 ÷ 5 = 4 remainder 3 ✓
37 ÷ 6 = 6 remainder 1 ✓
45 ÷ 7 = 6 remainder 3 ✓
58 ÷ 8 = 7 remainder 2 ✓
67 ÷ 9 = 7 remainder 4 ✓
123 ÷ 5 = 24 remainder 3 ✓
247 ÷ 6 = 41 remainder 1 ✓
Practice Problems
Level 1: Basic Facts
Basic Division Facts
Practice these basic division facts with remainders:
17 ÷ 3
22 ÷ 4
29 ÷ 5
34 ÷ 6
41 ÷ 7
48 ÷ 8
Solutions:
17 ÷ 3 = 5 remainder 2
22 ÷ 4 = 5 remainder 2
29 ÷ 5 = 5 remainder 4
34 ÷ 6 = 5 remainder 4
41 ÷ 7 = 5 remainder 6
48 ÷ 8 = 6 remainder 0
Level 2: 2-Digit Practice
2-Digit Division
Practice 2-digit dividends with 1-digit divisors:
53 ÷ 6
62 ÷ 7
71 ÷ 8
83 ÷ 9
94 ÷ 8
103 ÷ 9
Solutions:
53 ÷ 6 = 8 remainder 5
62 ÷ 7 = 8 remainder 6
71 ÷ 8 = 8 remainder 7
83 ÷ 9 = 9 remainder 2
94 ÷ 8 = 11 remainder 6
103 ÷ 9 = 11 remainder 4
Review and Assessment
Tip 1: Check your work using the division algorithm.
Tip 2: Verify remainder is always smaller than divisor.
Tip 3: Practice regularly to build fluency.
Tip 4: Focus on accuracy before speed.
Self-Assessment Checklist:
  • Can I identify dividend, divisor, quotient, and remainder?
  • Do I consistently get remainder smaller than divisor?
  • Can I verify answers using the division algorithm?
  • Can I solve word problems with remainders?
  • Am I improving in speed and accuracy?
Common Errors: Forgetting to check remainder size, miscalculating multiplication facts, confusing quotient with remainder.
Success Strategy: Master basic facts first, then increase difficulty gradually.

Questions & Answers

Question: How many practice problems should I do each day?

Answer: For optimal practice:

  • Beginners: 5-10 problems per day
  • Intermediate: 10-15 problems per day
  • Advanced: 15-20 problems per day

Quality is more important than quantity - focus on accuracy and understanding!

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

Answer: When you get stuck on a division problem:

  • Take a break: Step away for a moment
  • Check your work: Go through each step carefully
  • Use manipulatives: Count out objects to visualize the problem
  • Try a simpler version: Use smaller numbers first
  • Ask for help: Don't hesitate to seek assistance

Remember: everyone struggles with math sometimes!

Question: How can I check if my 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!