Printable division worksheet with decimal division problems for practice.
Division worksheet with 14 problems involving decimal division, featuring a cartoon student holding a book and pencil at the top, and a space for the student's name.
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Step-by-step solution for: Decimal Division Worksheet | Worksheets Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Decimal Division Worksheet | Worksheets Worksheets
Let's solve each of the division problems on this worksheet step by step. The key idea when dividing decimals is to eliminate the decimal in the divisor by multiplying both the dividend and divisor by the same power of 10, so that the divisor becomes a whole number.
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Multiply both numbers by 10 to eliminate the decimal:
- 10.42 × 10 = 104.2
- 0.2 × 10 = 2
Now divide:
104.2 ÷ 2 = 52.1
✔ Answer: 52.1
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Multiply both by 100:
- 12.24 × 100 = 1224
- 0.04 × 100 = 4
Now divide:
1224 ÷ 4 = 306
✔ Answer: 306
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Multiply both by 10:
- 11.22 × 10 = 112.2
- 1.1 × 10 = 11
Now divide:
112.2 ÷ 11 = ?
Do long division:
- 11 into 112 → 10 times (11×10=110), remainder 2
- Bring down 2 → 22
- 11 into 22 → 2 times
- So far: 10.2
- Now bring down .2 → 2.2
- 11 into 2.2 → 0.2 times (since 11×0.2=2.2)
So: 112.2 ÷ 11 = 10.2
✔ Answer: 10.2
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Multiply both by 10:
- 22.42 × 10 = 224.2
- 0.2 × 10 = 2
Now divide:
224.2 ÷ 2 = 112.1
✔ Answer: 112.1
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Multiply both by 10:
- 30.24 × 10 = 302.4
- 0.3 × 10 = 3
Now divide:
302.4 ÷ 3 = ?
3 into 302.4:
- 3 × 100 = 300 → remainder 2.4
- 3 into 2.4 = 0.8
- So total: 100 + 0.8 = 100.8
✔ Answer: 100.8
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Multiply both by 10:
- 18.24 × 10 = 182.4
- 0.6 × 10 = 6
Now divide:
182.4 ÷ 6 = ?
6 into 182.4:
- 6 × 30 = 180 → remainder 2.4
- 6 into 2.4 = 0.4
- So: 30 + 0.4 = 30.4
✔ Answer: 30.4
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Multiply both by 100:
- 42.24 × 100 = 4224
- 0.03 × 100 = 3
Now divide:
4224 ÷ 3 = ?
3 into 4224:
- 3 × 1400 = 4200 → remainder 24
- 3 × 8 = 24
- Total: 1400 + 8 = 1408
✔ Answer: 1408
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Multiply both by 100:
- 1.82 × 100 = 182
- 0.02 × 100 = 2
Now divide:
182 ÷ 2 = 91
✔ Answer: 91
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Multiply both by 10:
- 9.96 × 10 = 99.6
- 0.3 × 10 = 3
Now divide:
99.6 ÷ 3 = ?
3 into 99.6:
- 3 × 33 = 99 → remainder 0.6
- 3 × 0.2 = 0.6
- So: 33 + 0.2 = 33.2
✔ Answer: 33.2
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Multiply both by 10:
- 12.12 × 10 = 121.2
- 0.6 × 10 = 6
Now divide:
121.2 ÷ 6 = ?
6 into 121.2:
- 6 × 20 = 120 → remainder 1.2
- 6 × 0.2 = 1.2
- So: 20 + 0.2 = 20.2
✔ Answer: 20.2
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Multiply both by 100:
- 16.4 × 100 = 1640
- 0.08 × 100 = 8
Now divide:
1640 ÷ 8 = ?
8 × 200 = 1600 → remainder 40
8 × 5 = 40 → total: 200 + 5 = 205
✔ Answer: 205
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Multiply both by 10:
- 3.24 × 10 = 32.4
- 0.4 × 10 = 4
Now divide:
32.4 ÷ 4 = ?
4 × 8 = 32 → remainder 0.4
4 × 0.1 = 0.4 → total: 8 + 0.1 = 8.1
✔ Answer: 8.1
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Multiply both by 100:
- 62.12 × 100 = 6212
- 0.02 × 100 = 2
Now divide:
6212 ÷ 2 = 3106
✔ Answer: 3106
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Multiply both by 10:
- 0.24 × 10 = 2.4
- 0.6 × 10 = 6
Now divide:
2.4 ÷ 6 = ?
6 goes into 2.4 → 0.4 times (because 6 × 0.4 = 2.4)
✔ Answer: 0.4
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1. 52.1
2. 306
3. 10.2
4. 112.1
5. 100.8
6. 30.4
7. 1408
8. 91
9. 33.2
10. 20.2
11. 205
12. 8.1
13. 3106
14. 0.4
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When dividing by a decimal:
1. Move the decimal point in the divisor to make it a whole number.
2. Move the decimal point in the dividend the same number of places.
3. Then divide as usual.
This method ensures accurate results every time!
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Problem 1: 10.42 ÷ 0.2
Multiply both numbers by 10 to eliminate the decimal:
- 10.42 × 10 = 104.2
- 0.2 × 10 = 2
Now divide:
104.2 ÷ 2 = 52.1
✔ Answer: 52.1
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Problem 2: 12.24 ÷ 0.04
Multiply both by 100:
- 12.24 × 100 = 1224
- 0.04 × 100 = 4
Now divide:
1224 ÷ 4 = 306
✔ Answer: 306
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Problem 3: 11.22 ÷ 1.1
Multiply both by 10:
- 11.22 × 10 = 112.2
- 1.1 × 10 = 11
Now divide:
112.2 ÷ 11 = ?
Do long division:
- 11 into 112 → 10 times (11×10=110), remainder 2
- Bring down 2 → 22
- 11 into 22 → 2 times
- So far: 10.2
- Now bring down .2 → 2.2
- 11 into 2.2 → 0.2 times (since 11×0.2=2.2)
So: 112.2 ÷ 11 = 10.2
✔ Answer: 10.2
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Problem 4: 22.42 ÷ 0.2
Multiply both by 10:
- 22.42 × 10 = 224.2
- 0.2 × 10 = 2
Now divide:
224.2 ÷ 2 = 112.1
✔ Answer: 112.1
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Problem 5: 30.24 ÷ 0.3
Multiply both by 10:
- 30.24 × 10 = 302.4
- 0.3 × 10 = 3
Now divide:
302.4 ÷ 3 = ?
3 into 302.4:
- 3 × 100 = 300 → remainder 2.4
- 3 into 2.4 = 0.8
- So total: 100 + 0.8 = 100.8
✔ Answer: 100.8
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Problem 6: 18.24 ÷ 0.6
Multiply both by 10:
- 18.24 × 10 = 182.4
- 0.6 × 10 = 6
Now divide:
182.4 ÷ 6 = ?
6 into 182.4:
- 6 × 30 = 180 → remainder 2.4
- 6 into 2.4 = 0.4
- So: 30 + 0.4 = 30.4
✔ Answer: 30.4
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Problem 7: 42.24 ÷ 0.03
Multiply both by 100:
- 42.24 × 100 = 4224
- 0.03 × 100 = 3
Now divide:
4224 ÷ 3 = ?
3 into 4224:
- 3 × 1400 = 4200 → remainder 24
- 3 × 8 = 24
- Total: 1400 + 8 = 1408
✔ Answer: 1408
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Problem 8: 1.82 ÷ 0.02
Multiply both by 100:
- 1.82 × 100 = 182
- 0.02 × 100 = 2
Now divide:
182 ÷ 2 = 91
✔ Answer: 91
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Problem 9: 9.96 ÷ 0.3
Multiply both by 10:
- 9.96 × 10 = 99.6
- 0.3 × 10 = 3
Now divide:
99.6 ÷ 3 = ?
3 into 99.6:
- 3 × 33 = 99 → remainder 0.6
- 3 × 0.2 = 0.6
- So: 33 + 0.2 = 33.2
✔ Answer: 33.2
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Problem 10: 12.12 ÷ 0.6
Multiply both by 10:
- 12.12 × 10 = 121.2
- 0.6 × 10 = 6
Now divide:
121.2 ÷ 6 = ?
6 into 121.2:
- 6 × 20 = 120 → remainder 1.2
- 6 × 0.2 = 1.2
- So: 20 + 0.2 = 20.2
✔ Answer: 20.2
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Problem 11: 16.4 ÷ 0.08
Multiply both by 100:
- 16.4 × 100 = 1640
- 0.08 × 100 = 8
Now divide:
1640 ÷ 8 = ?
8 × 200 = 1600 → remainder 40
8 × 5 = 40 → total: 200 + 5 = 205
✔ Answer: 205
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Problem 12: 3.24 ÷ 0.4
Multiply both by 10:
- 3.24 × 10 = 32.4
- 0.4 × 10 = 4
Now divide:
32.4 ÷ 4 = ?
4 × 8 = 32 → remainder 0.4
4 × 0.1 = 0.4 → total: 8 + 0.1 = 8.1
✔ Answer: 8.1
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Problem 13: 62.12 ÷ 0.02
Multiply both by 100:
- 62.12 × 100 = 6212
- 0.02 × 100 = 2
Now divide:
6212 ÷ 2 = 3106
✔ Answer: 3106
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Problem 14: 0.24 ÷ 0.6
Multiply both by 10:
- 0.24 × 10 = 2.4
- 0.6 × 10 = 6
Now divide:
2.4 ÷ 6 = ?
6 goes into 2.4 → 0.4 times (because 6 × 0.4 = 2.4)
✔ Answer: 0.4
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✔ Final Answers:
1. 52.1
2. 306
3. 10.2
4. 112.1
5. 100.8
6. 30.4
7. 1408
8. 91
9. 33.2
10. 20.2
11. 205
12. 8.1
13. 3106
14. 0.4
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📌 Tip for Dividing Decimals:
When dividing by a decimal:
1. Move the decimal point in the divisor to make it a whole number.
2. Move the decimal point in the dividend the same number of places.
3. Then divide as usual.
This method ensures accurate results every time!
Parent Tip: Review the logic above to help your child master the concept of decimal division worksheet 5th grade.