Decimal Division Worksheet | Worksheets Worksheets - Free Printable

Here is the complete solution to the Division Worksheet with step-by-step explanations for each problem.

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🔢 General Strategy:

When dividing by a decimal, we can make the divisor a whole number by multiplying both the dividend and the divisor by the same power of 10. This doesn’t change the value of the quotient.

Example:
`10.42 ÷ 0.2` → Multiply both by 10 → `104.2 ÷ 2`

Then perform standard long division or mental math.

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## ✔ Solutions:

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1. 10.42 ÷ 0.2

Multiply both by 10:
→ `104.2 ÷ 2 = 52.1`

✔ Answer: 52.1

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2. 12.24 ÷ 0.04

Multiply both by 100:
→ `1224 ÷ 4 = 306`

✔ Answer: 306

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3. 11.22 ÷ 1.1

Multiply both by 10:
→ `112.2 ÷ 11`

Now divide:
11 × 10 = 110 → remainder 2.2
11 × 0.2 = 2.2 → total = 10 + 0.2 = 10.2

✔ Answer: 10.2

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4. 22.42 ÷ 0.2

Multiply both by 10:
→ `224.2 ÷ 2 = 112.1`

✔ Answer: 112.1

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5. 30.24 ÷ 0.3

Multiply both by 10:
→ `302.4 ÷ 3`

3 × 100 = 300 → remainder 2.4
3 × 0.8 = 2.4 → total = 100 + 0.8 = 100.8

✔ Answer: 100.8

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6. 18.24 ÷ 0.6

Multiply both by 10:
→ `182.4 ÷ 6`

6 × 30 = 180 → remainder 2.4
6 × 0.4 = 2.4 → total = 30 + 0.4 = 30.4

✔ Answer: 30.4

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7. 42.24 ÷ 0.03

Multiply both by 100:
→ `4224 ÷ 3`

3 × 1408 = 4224 → 1408

✔ Answer: 1408

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8. 1.82 ÷ 0.02

Multiply both by 100:
→ `182 ÷ 2 = 91`

✔ Answer: 91

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9. 9.96 ÷ 0.3

Multiply both by 10:
→ `99.6 ÷ 3 = 33.2`

✔ Answer: 33.2

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10. 12.12 ÷ 0.6

Multiply both by 10:
→ `121.2 ÷ 6`

6 × 20 = 120 → remainder 1.2
6 × 0.2 = 1.2 → total = 20 + 0.2 = 20.2

✔ Answer: 20.2

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11. 16.4 ÷ 0.08

Multiply both by 100:
→ `1640 ÷ 8`

8 × 205 = 1640 → 205

✔ Answer: 205

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12. 3.24 ÷ 0.4

Multiply both by 10:
→ `32.4 ÷ 4 = 8.1`

✔ Answer: 8.1

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13. 62.12 ÷ 0.02

Multiply both by 100:
→ `6212 ÷ 2 = 3106`

✔ Answer: 3106

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14. 0.24 ÷ 0.6

Multiply both by 10:
→ `2.4 ÷ 6 = 0.4`

✔ Answer: 0.4

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## 📝 Final Answer Key:

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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Let me know if you’d like to see the long division steps for any specific problem!