Solved Exercises on Free Division Facts Worksheets in Grade 3

Master free division facts worksheets: practicing division facts, solving division problems, and completing division worksheets through these 3 detailed exercises.

Solution: Exercises 1 to 3
1 Basic division facts (20 problems)
Exercise 1
Complete these division facts: 10 ÷ 2 = ?, 15 ÷ 3 = ?, 20 ÷ 4 = ?, 25 ÷ 5 = ?, 8 ÷ 2 = ?, 12 ÷ 3 = ?, 16 ÷ 4 = ?, 30 ÷ 5 = ?, 6 ÷ 1 = ?, 14 ÷ 2 = ?, 18 ÷ 3 = ?, 24 ÷ 4 = ?, 35 ÷ 5 = ?, 4 ÷ 1 = ?, 9 ÷ 3 = ?, 12 ÷ 4 = ?, 20 ÷ 5 = ?, 6 ÷ 2 = ?, 10 ÷ 5 = ?, 8 ÷ 4 = ?
Definition:

Free division facts worksheet: A practice sheet with division problems available at no cost to help build fluency and automaticity.

Worksheet completion method:
  1. Read each division problem carefully
  2. Think about the corresponding multiplication fact
  3. Write the answer for each problem
  4. Check your answers by multiplying back
  5. Work systematically through all problems
Problems
10÷2, 15÷3, 20÷4, 25÷5, 8÷2, 12÷3, 16÷4, 30÷5, 6÷1, 14÷2, 18÷3, 24÷4, 35÷5, 4÷1, 9÷3, 12÷4, 20÷5, 6÷2, 10÷5, 8÷4
Answers
5, 5, 5, 5, 4, 4, 4, 6, 6, 7, 6, 6, 7, 4, 3, 3, 4, 3, 2, 2
Step 1: Solve first 5 problems

10÷2=5, 15÷3=5, 20÷4=5, 25÷5=5, 8÷2=4

Step 2: Solve next 5 problems

12÷3=4, 16÷4=4, 30÷5=6, 6÷1=6, 14÷2=7

Step 3: Solve remaining problems

18÷3=6, 24÷4=6, 35÷5=7, 4÷1=4, 9÷3=3, 12÷4=3, 20÷5=4, 6÷2=3, 10÷5=2, 8÷4=2

Step 4: Verify a few answers

5×2=10 ✓, 5×3=15 ✓, 5×4=20 ✓, 5×5=25 ✓, 4×2=8 ✓

10÷2=5, 15÷3=5, 20÷4=5, 25÷5=5, 8÷2=4, 12÷3=4, 16÷4=4, 30÷5=6, 6÷1=6, 14÷2=7, 18÷3=6, 24÷4=6, 35÷5=7, 4÷1=4, 9÷3=3, 12÷4=3, 20÷5=4, 6÷2=3, 10÷5=2, 8÷4=2
Final answer:

10 ÷ 2 = 5, 15 ÷ 3 = 5, 20 ÷ 4 = 5, 25 ÷ 5 = 5, 8 ÷ 2 = 4, 12 ÷ 3 = 4, 16 ÷ 4 = 4, 30 ÷ 5 = 6, 6 ÷ 1 = 6, 14 ÷ 2 = 7, 18 ÷ 3 = 6, 24 ÷ 4 = 6, 35 ÷ 5 = 7, 4 ÷ 1 = 4, 9 ÷ 3 = 3, 12 ÷ 4 = 3, 20 ÷ 5 = 4, 6 ÷ 2 = 3, 10 ÷ 5 = 2, 8 ÷ 4 = 2

Applied rules:

• Division-multiplication relationship: Division facts connect to multiplication facts

• Worksheet completion: Work systematically through each problem

• Checking: Multiply to verify each answer

Tip: Work systematically through problems to avoid skipping any.
Tip: Always check by multiplying: quotient × divisor = dividend.
2 Intermediate division facts (20 problems)
Exercise 2
Complete these division facts: 30 ÷ 6 = ?, 35 ÷ 7 = ?, 40 ÷ 8 = ?, 45 ÷ 9 = ?, 50 ÷ 10 = ?, 36 ÷ 6 = ?, 42 ÷ 7 = ?, 48 ÷ 8 = ?, 54 ÷ 9 = ?, 60 ÷ 10 = ?, 42 ÷ 6 = ?, 49 ÷ 7 = ?, 56 ÷ 8 = ?, 63 ÷ 9 = ?, 70 ÷ 10 = ?, 48 ÷ 6 = ?, 56 ÷ 7 = ?, 64 ÷ 8 = ?, 72 ÷ 9 = ?, 80 ÷ 10 = ?
Definition:

Free worksheet: A practice sheet with multiple problems of the same type to build fluency, available at no cost.

Problems
30÷6, 35÷7, 40÷8, 45÷9, 50÷10, 36÷6, 42÷7, 48÷8, 54÷9, 60÷10, 42÷6, 49÷7, 56÷8, 63÷9, 70÷10, 48÷6, 56÷7, 64÷8, 72÷9, 80÷10
Answers
5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8
Step 1: Solve first 5 problems

30÷6=5, 35÷7=5, 40÷8=5, 45÷9=5, 50÷10=5

Step 2: Solve next 5 problems

36÷6=6, 42÷7=6, 48÷8=6, 54÷9=6, 60÷10=6

Step 3: Solve remaining problems

42÷6=7, 49÷7=7, 56÷8=7, 63÷9=7, 70÷10=7, 48÷6=8, 56÷7=8, 64÷8=8, 72÷9=8, 80÷10=8

Step 4: Verify a few answers

5×6=30 ✓, 5×7=35 ✓, 5×8=40 ✓, 5×9=45 ✓, 5×10=50 ✓

30÷6=5, 35÷7=5, 40÷8=5, 45÷9=5, 50÷10=5, 36÷6=6, 42÷7=6, 48÷8=6, 54÷9=6, 60÷10=6, 42÷6=7, 49÷7=7, 56÷8=7, 63÷9=7, 70÷10=7, 48÷6=8, 56÷7=8, 64÷8=8, 72÷9=8, 80÷10=8
Final answer:

30 ÷ 6 = 5, 35 ÷ 7 = 5, 40 ÷ 8 = 5, 45 ÷ 9 = 5, 50 ÷ 10 = 5, 36 ÷ 6 = 6, 42 ÷ 7 = 6, 48 ÷ 8 = 6, 54 ÷ 9 = 6, 60 ÷ 10 = 6, 42 ÷ 6 = 7, 49 ÷ 7 = 7, 56 ÷ 8 = 7, 63 ÷ 9 = 7, 70 ÷ 10 = 7, 48 ÷ 6 = 8, 56 ÷ 7 = 8, 64 ÷ 8 = 8, 72 ÷ 9 = 8, 80 ÷ 10 = 8

Applied rules:

• Division-multiplication relationship: Division facts connect to multiplication facts

• Higher number facts: Practice with divisors 6-10 builds fluency

• Checking: Multiply to verify each answer

Tip: Dividing by 10 is easy - just move the decimal point one place left.
Tip: Practice higher number facts by connecting to smaller known facts.
3 Mixed division facts (20 problems)
Exercise 3
Complete these mixed division facts: 49 ÷ 7 = ?, 64 ÷ 8 = ?, 72 ÷ 9 = ?, 80 ÷ 10 = ?, 88 ÷ 11 = ?, 96 ÷ 12 = ?, 63 ÷ 7 = ?, 72 ÷ 8 = ?, 81 ÷ 9 = ?, 90 ÷ 10 = ?, 99 ÷ 11 = ?, 108 ÷ 12 = ?, 56 ÷ 7 = ?, 64 ÷ 8 = ?, 72 ÷ 9 = ?, 80 ÷ 10 = ?, 88 ÷ 11 = ?, 96 ÷ 12 = ?, 42 ÷ 7 = ?, 48 ÷ 8 = ?
Definition:

Free mixed division facts worksheet: A practice sheet with various division problems available at no cost to build flexibility.

Problems
49÷7, 64÷8, 72÷9, 80÷10, 88÷11, 96÷12, 63÷7, 72÷8, 81÷9, 90÷10, 99÷11, 108÷12, 56÷7, 64÷8, 72÷9, 80÷10, 88÷11, 96÷12, 42÷7, 48÷8
Answers
7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 6, 6
Step 1: Solve first 5 problems

49÷7=7, 64÷8=8, 72÷9=8, 80÷10=8, 88÷11=8

Step 2: Solve next 5 problems

96÷12=8, 63÷7=9, 72÷8=9, 81÷9=9, 90÷10=9

Step 3: Solve remaining problems

99÷11=9, 108÷12=9, 56÷7=8, 64÷8=8, 72÷9=8, 80÷10=8, 88÷11=8, 96÷12=8, 42÷7=6, 48÷8=6

Step 4: Verify a few answers

7×7=49 ✓, 8×8=64 ✓, 8×9=72 ✓, 8×10=80 ✓, 8×11=88 ✓

49÷7=7, 64÷8=8, 72÷9=8, 80÷10=8, 88÷11=8, 96÷12=8, 63÷7=9, 72÷8=9, 81÷9=9, 90÷10=9, 99÷11=9, 108÷12=9, 56÷7=8, 64÷8=8, 72÷9=8, 80÷10=8, 88÷11=8, 96÷12=8, 42÷7=6, 48÷8=6
Final answer:

49 ÷ 7 = 7, 64 ÷ 8 = 8, 72 ÷ 9 = 8, 80 ÷ 10 = 8, 88 ÷ 11 = 8, 96 ÷ 12 = 8, 63 ÷ 7 = 9, 72 ÷ 8 = 9, 81 ÷ 9 = 9, 90 ÷ 10 = 9, 99 ÷ 11 = 9, 108 ÷ 12 = 9, 56 ÷ 7 = 8, 64 ÷ 8 = 8, 72 ÷ 9 = 8, 80 ÷ 10 = 8, 88 ÷ 11 = 8, 96 ÷ 12 = 8, 42 ÷ 7 = 6, 48 ÷ 8 = 6

Applied rules:

• Mixed practice: Random order builds flexibility and fluency

• Division-multiplication connection: Use known facts to solve

• Checking: Verify each answer by multiplying back

Tip: Work systematically even when problems are mixed up.
Tip: Look for patterns in the numbers to help with recall.
Free Division Facts Worksheets
Dividend ÷ Divisor = Quotient (where divisor is 1-12)
Division Range 1-12
Facts 1-5
10÷2=5, 15÷3=5, 20÷4=5, 25÷5=5
Lower range
Facts 6-10
30÷6=5, 35÷7=5, 40÷8=5, 45÷9=5, 50÷10=5
Higher range
Checking
Quotient × Divisor = Dividend
Verification method
Key definitions:

Division facts: Basic division relationships that should be memorized

Free worksheet: A practice sheet with multiple problems of the same type available at no cost

Fluency: Quick and accurate recall of division facts

Automaticity: Being able to answer division facts without calculation

Worksheet completion strategies:
  1. Systematic approach: Work through problems in order
  2. Connection to multiplication: Use known multiplication facts
  3. Checking answers: Verify each answer by multiplying
  4. Time management: Work efficiently but accurately
Tip 1: Practice regularly to build fluency with division facts.
Tip 2: Connect division to multiplication facts to improve recall.
Tip 3: Always check your answers by multiplying back.
Tip 4: Start with easier facts and progress to harder ones.
Common errors: Confusing dividend and divisor, forgetting to check answers, miscalculating with larger numbers.
Success strategies: Regular practice, connecting to multiplication, systematic checking.
Worksheet best practices:

• Work through problems systematically

• Check each answer by multiplying

• Show your work when needed

• Review mistakes to learn from them

• Practice regularly for fluency

Detailed Summary: Free Division Facts Worksheets
Key Concepts:

Free Division Facts: Basic division relationships that should be memorized, available through free practice resources.

Worksheets: Structured practice sheets containing multiple division problems for skill development.

Fluency: The ability to quickly and accurately recall division facts without calculation.

Automaticity: When division facts become so familiar that answers come instantly without thought.

Core Methods:
  1. Multiplication Connection: Use known multiplication facts to solve division problems (if 3×4=12, then 12÷3=4).
  2. Equal Sharing: Divide items equally among groups to understand division conceptually.
  3. Repeated Subtraction: Keep subtracting the divisor from the dividend to find the quotient.
  4. Checking Method: Verify answers by multiplying quotient by divisor to get the dividend.
Division Facts 1-5:
  • Easy facts: 2÷1=2, 4÷2=2, 6÷3=2, 8÷4=2, 10÷5=2
  • Medium facts: 6÷2=3, 9÷3=3, 12÷4=3, 15÷5=3, 8÷2=4, 12÷3=4, 16÷4=4, 20÷5=4
  • Advanced facts: 10÷2=5, 15÷3=5, 20÷4=5, 25÷5=5, 12÷2=6, 18÷3=6, 24÷4=6, 30÷5=6
Division Facts 6-12:
  • 6÷6=1, 12÷6=2, 18÷6=3, 24÷6=4, 30÷6=5, 36÷6=6, 42÷6=7
  • 7÷7=1, 14÷7=2, 21÷7=3, 28÷7=4, 35÷7=5, 42÷7=6, 49÷7=7
  • 8÷8=1, 16÷8=2, 24÷8=3, 32÷8=4, 40÷8=5, 48÷8=6, 56÷8=7
  • 9÷9=1, 18÷9=2, 27÷9=3, 36÷9=4, 45÷9=5, 54÷9=6, 63÷9=7
  • 10÷10=1, 20÷10=2, 30÷10=3, 40÷10=4, 50÷10=5, 60÷10=6, 70÷10=7
  • 11÷11=1, 22÷11=2, 33÷11=3, 44÷11=4, 55÷11=5, 66÷11=6, 77÷11=7
  • 12÷12=1, 24÷12=2, 36÷12=3, 48÷12=4, 60÷12=5, 72÷12=6, 84÷12=7
Tips for Success:
  • Practice regularly with timed drills to build speed
  • Connect division facts to multiplication facts for better recall
  • Use visual models like arrays or grouping to understand concepts
  • Review mistakes to identify patterns in errors
Common Mistakes to Avoid:
  • Confusing dividend and divisor in problems
  • Forgetting to check answers by multiplying
  • Making calculation errors with larger numbers
  • Rushing through problems without accuracy
Key Takeaways for Memorization:

• Division facts connect directly to multiplication facts

• Regular practice with free worksheets builds fluency

• Always verify answers by multiplying back

• Start with easier facts and gradually progress to harder ones

• Understanding the concept helps with memorization

Questions & Answers

Question: How should I organize my work when completing free division facts worksheets?

Answer: Here's how to organize your work effectively on free division facts worksheets:

  • Work systematically: Go through problems in order from top to bottom
  • Line up your work: Keep numbers aligned properly
  • Write neatly: Make sure your numbers are clear and readable
  • Check as you go: Verify answers by multiplying immediately after solving

If you get stuck on a problem, circle it and move to the next one. Come back to difficult problems after completing the easier ones.

Keep your workspace organized and free of distractions to maintain focus.

Question: How much time should I spend practicing with free division facts worksheets each day?

Answer: For building division fact fluency with free worksheets, aim for 15-20 minutes of focused practice each day:

  • 5-10 minutes: Basic fact practice
  • 5-10 minutes: Advanced fact practice
  • 5 minutes: Mixed practice and checking answers

Consistency is more important than duration. Daily practice, even if brief, is more effective than longer sessions once or twice a week.

You can break practice into smaller chunks throughout the day if needed.

Question: What should I do if I keep getting many division facts wrong on free worksheets?

Answer: If you're struggling with many division facts, try these strategies:

  • Focus on multiplication: Since division is the inverse of multiplication, master multiplication facts first
  • Use visual aids: Draw groups or arrays to represent the division
  • Practice in smaller chunks: Do 10-20 problems at a time instead of more
  • Review mistakes: Look for patterns in the types of problems you get wrong

Focus on the multiplication facts for the divisors you're struggling with, since division is the inverse operation.

Practice the specific facts you're struggling with separately before returning to mixed worksheets.