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How to Divide Decimals (Step-by-Step) — Mashup Math - Free Printable

How to Divide Decimals (Step-by-Step) — Mashup Math

Educational worksheet: How to Divide Decimals (Step-by-Step) — Mashup Math. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: How to Divide Decimals (Step-by-Step) — Mashup Math
Absolutely! Let’s solve each of these decimal division problems step by step, using the 3-step method provided in your worksheet.

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Step-by-Step Method Recap:



1. Identify dividend and divisor — the number being divided (dividend) and the number dividing it (divisor).
2. If divisor is not a whole number, multiply it by a power of 10 to make it whole. Then multiply the dividend by the same power of 10.
3. Use long division to find the quotient.

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Let’s go problem by problem:

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1.) 5.6 ÷ 0.8



- Divisor = 0.8 → not whole → multiply by 10 → becomes 8
- Multiply dividend by 10 → 5.6 × 10 = 56
- Now: 56 ÷ 8 = 7

Answer: 7

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2.) 4.9 ÷ 7



- Divisor = 7 → already whole → skip Step 2
- Long division: 4.9 ÷ 7

→ 7 goes into 49 (tenths) 7 times → 0.7

Answer: 0.7

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3.) 3.6 ÷ 1.5



- Divisor = 1.5 → multiply by 10 → 15
- Dividend: 3.6 × 10 = 36
- 36 ÷ 15 = ?

→ 15 × 2 = 30 → remainder 6 → bring down 0 → 60 ÷ 15 = 4 → so 2.4

Answer: 2.4

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4.) 5.3 ÷ 0.5



- Divisor = 0.5 → ×10 → 5
- Dividend: 5.3 × 10 = 53
- 53 ÷ 5 = 10.6

Answer: 10.6

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5.) 1.8 ÷ 2



- Divisor = 2 → whole → skip Step 2
- 1.8 ÷ 2 = 0.9

Answer: 0.9

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6.) 11.2 ÷ 2.8



- Divisor = 2.8 → ×10 → 28
- Dividend: 11.2 × 10 = 112
- 112 ÷ 28 = 4

Answer: 4

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7.) 1.8 ÷ 0.8



- Divisor = 0.8 → ×10 → 8
- Dividend: 1.8 × 10 = 18
- 18 ÷ 8 = 2.25

Answer: 2.25

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8.) 5.7 ÷ 3



- Divisor = 3 → whole → skip Step 2
- 5.7 ÷ 3 → 3 goes into 5 once (3), remainder 2 → bring down 7 → 27 ÷ 3 = 9 → so 1.9

Answer: 1.9

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9.) 5.1 ÷ 1.2



- Divisor = 1.2 → ×10 → 12
- Dividend: 5.1 × 10 = 51
- 51 ÷ 12 = ?

→ 12 × 4 = 48 → remainder 3 → add decimal → 30 ÷ 12 = 2.5 → total 4.25

Answer: 4.25

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10.) 7.49 ÷ 0.2



- Divisor = 0.2 → ×10 → 2
- Dividend: 7.49 × 10 = 74.9
- 74.9 ÷ 2 = 37.45

Answer: 37.45

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11.) 3.6 ÷ 4.8



- Divisor = 4.8 → ×10 → 48
- Dividend: 3.6 × 10 = 36
- 36 ÷ 48 = ?

→ 36 ÷ 48 = 0.75 (since 48 × 0.75 = 36)

Answer: 0.75

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12.) 12.9 ÷ 3



- Divisor = 3 → whole → skip Step 2
- 12.9 ÷ 3 = 4.3

Answer: 4.3

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13.) 7.9 ÷ 2



- Divisor = 2 → whole → skip Step 2
- 7.9 ÷ 2 = 3.95

Answer: 3.95

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14.) 9.8 ÷ 0.2



- Divisor = 0.2 → ×10 → 2
- Dividend: 9.8 × 10 = 98
- 98 ÷ 2 = 49

Answer: 49

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15.) 3.4 ÷ 0.4



- Divisor = 0.4 → ×10 → 4
- Dividend: 3.4 × 10 = 34
- 34 ÷ 4 = 8.5

Answer: 8.5

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16.) 6.8 ÷ 2.5



- Divisor = 2.5 → ×10 → 25
- Dividend: 6.8 × 10 = 68
- 68 ÷ 25 = ?

→ 25 × 2 = 50 → remainder 18 → 180 ÷ 25 = 7.2 → so 2.72

Answer: 2.72

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## 🎉 Final Answers Summary:

1. 7
2. 0.7
3. 2.4
4. 10.6
5. 0.9
6. 4
7. 2.25
8. 1.9
9. 4.25
10. 37.45
11. 0.75
12. 4.3
13. 3.95
14. 49
15. 8.5
16. 2.72

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Let me know if you’d like to see any of these worked out with long division visuals or need help explaining one in more detail! 😊
Parent Tip: Review the logic above to help your child master the concept of divisor worksheet decimals.
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