Printable division worksheet for practicing decimal division problems.
Division worksheet with 14 problems involving decimal division, featuring a cartoon student holding books at the top and a "Worksheets" title.
PNG
800×1035
19.1 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #602996
⭐
Show Answer Key & Explanations
Step-by-step solution for: Decimal Division Worksheet | Worksheets Worksheets
▼
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.
---
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
---
Multiply both by 100:
- 12.24 × 100 = 1224
- 0.04 × 100 = 4
Now divide:
1224 ÷ 4 = 306
✔ Answer: 306
---
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 → 22
- So, 10.2
✔ Answer: 10.2
---
Multiply both by 10:
- 22.42 × 10 = 224.2
- 0.2 × 10 = 2
Now divide:
224.2 ÷ 2 = 112.1
✔ Answer: 112.1
---
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 × 0.8 = 2.4 → total = 100.8
✔ Answer: 100.8
---
Multiply both by 10:
- 18.24 × 10 = 182.4
- 0.6 × 10 = 6
Now divide:
182.4 ÷ 6 = ?
6 × 30 = 180 → remainder 2.4
6 × 0.4 = 2.4 → total = 30.4
✔ Answer: 30.4
---
Multiply both by 100:
- 42.24 × 100 = 4224
- 0.03 × 100 = 3
Now divide:
4224 ÷ 3 = ?
3 × 1400 = 4200 → remainder 24
3 × 8 = 24 → total = 1408
✔ Answer: 1408
---
Multiply both by 100:
- 1.82 × 100 = 182
- 0.02 × 100 = 2
Now divide:
182 ÷ 2 = 91
✔ Answer: 91
---
Multiply both by 10:
- 9.96 × 10 = 99.6
- 0.3 × 10 = 3
Now divide:
99.6 ÷ 3 = ?
3 × 33 = 99 → remainder 0.6
3 × 0.2 = 0.6 → total = 33.2
✔ Answer: 33.2
---
Multiply both by 10:
- 12.12 × 10 = 121.2
- 0.6 × 10 = 6
Now divide:
121.2 ÷ 6 = ?
6 × 20 = 120 → remainder 1.2
6 × 0.2 = 1.2 → total = 20.2
✔ Answer: 20.2
---
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 = 205
✔ Answer: 205
---
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 = 8.1
✔ Answer: 8.1
---
Multiply both by 100:
- 62.12 × 100 = 6212
- 0.02 × 100 = 2
Now divide:
6212 ÷ 2 = 3106
✔ Answer: 3106
---
Multiply both by 10:
- 0.24 × 10 = 2.4
- 0.6 × 10 = 6
Now divide:
2.4 ÷ 6 = ?
6 × 0.4 = 2.4 → total = 0.4
✔ Answer: 0.4
---
| Problem | Answer |
|--------|--------|
| 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 |
---
To divide decimals:
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. Divide as usual, placing the decimal point in the quotient directly above where it appears in the dividend.
This method makes division easier and avoids dealing with decimals in the divisor.
Let me know if you'd like this as a printable answer sheet!
---
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
---
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
---
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 → 22
- So, 10.2
✔ Answer: 10.2
---
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
---
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 × 0.8 = 2.4 → total = 100.8
✔ Answer: 100.8
---
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 × 30 = 180 → remainder 2.4
6 × 0.4 = 2.4 → total = 30.4
✔ Answer: 30.4
---
Problem 7: 42.24 ÷ 0.03
Multiply both by 100:
- 42.24 × 100 = 4224
- 0.03 × 100 = 3
Now divide:
4224 ÷ 3 = ?
3 × 1400 = 4200 → remainder 24
3 × 8 = 24 → total = 1408
✔ Answer: 1408
---
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
---
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 × 33 = 99 → remainder 0.6
3 × 0.2 = 0.6 → total = 33.2
✔ Answer: 33.2
---
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 × 20 = 120 → remainder 1.2
6 × 0.2 = 1.2 → total = 20.2
✔ Answer: 20.2
---
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 = 205
✔ Answer: 205
---
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 = 8.1
✔ Answer: 8.1
---
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
---
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 × 0.4 = 2.4 → total = 0.4
✔ Answer: 0.4
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 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 |
---
🔍 Explanation Summary:
To divide decimals:
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. Divide as usual, placing the decimal point in the quotient directly above where it appears in the dividend.
This method makes division easier and avoids dealing with decimals in the divisor.
Let me know if you'd like this as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of dividing decimals worksheet pdf.