Dividing Decimals by Whole Numbers (A) math worksheet for practice.
Worksheet titled "Dividing Decimals by Whole Numbers (A)" with math problems requiring students to find quotients, including examples like 6.5 ÷ 9 and 9.29 ÷ 6, from Math-Drills.com.
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Step-by-step solution for: Dividing Various Decimal Places by a Whole Number (A)
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Show Answer Key & Explanations
Step-by-step solution for: Dividing Various Decimal Places by a Whole Number (A)
Sure! Let’s solve each of these decimal division problems step by step. The goal is to divide each decimal number by the whole number shown, and find the quotient (the result of the division).
We’ll go row by row.
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#### 1. 6.5 ÷ 9
- 9 goes into 6.5 → 0 times. Add a decimal point and zero: 65 tenths.
- 9 × 7 = 63 → subtract → remainder 2 → bring down 0 → 20 hundredths.
- 9 × 2 = 18 → remainder 2 → bring down 0 → 20 again → repeats.
- So: 0.722... (repeating)
✔ Answer: 0.722... or 0.7̅2̅ (but for practical purposes, often rounded to 3 decimals: 0.722)
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#### 2. 9.29 ÷ 6
- 6 goes into 9 → 1 time → 1×6=6 → subtract → 3.29
- Bring down → 32 (tenths) → 6×5=30 → subtract → 2.9
- Bring down → 29 (hundredths) → 6×4=24 → subtract → 5 → add 0 → 50 thousandths
- 6×8=48 → subtract → 2 → repeat...
So: 1.548333...
✔ Answer: 1.548 (rounded to 3 decimals)
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#### 3. 5.8492 ÷ 5
- 5 goes into 5 → 1 → subtract → 0.8492
- 5 into 8 → 1 → 1×5=5 → subtract → 3.492
- 5 into 34 → 6 → 6×5=30 → subtract → 4.92
- 5 into 49 → 9 → 9×5=45 → subtract → 4.2
- 5 into 42 → 8 → 8×5=40 → subtract → 2 → add 0 → 20 → 5×4=20
So: 1.16984
✔ Answer: 1.16984
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#### 4. 0.5 ÷ 2
- 2 into 0.5 → 0.25
✔ Answer: 0.25
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#### 5. 1.5 ÷ 4
- 4 into 1.5 → 0.375
✔ Answer: 0.375
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#### 6. 3.6297 ÷ 9
- 9 into 3.6 → 0.4 → 4×9=3.6 → subtract → 0.0297
- 9 into 29 → 3 → 3×9=27 → subtract → 27
- 9 into 27 → 3 → 3×9=27 → subtract → 0
So: 0.4033
✔ Answer: 0.4033
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#### 7. 1.9 ÷ 7
- 7 into 1.9 → 0.27142857... (repeating)
Let’s compute:
- 7 into 19 → 2 → 2×7=14 → subtract → 5 → 50 → 7×7=49 → 1 → 10 → 7×1=7 → 3 → 30 → 7×4=28 → 2 → etc.
✔ Answer: 0.2714... (approx 0.271)
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#### 8. 5.67 ÷ 3
- 3 into 5 → 1 → 1×3=3 → subtract → 2.67
- 3 into 26 → 8 → 8×3=24 → subtract → 2.7
- 3 into 27 → 9 → 9×3=27 → subtract → 0
✔ Answer: 1.89
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#### 9. 0.465 ÷ 2
- 2 into 0.465 → 0.2325
✔ Answer: 0.2325
---
#### 10. 8.12 ÷ 6
- 6 into 8 → 1 → 1×6=6 → subtract → 2.12
- 6 into 21 → 3 → 3×6=18 → subtract → 3.2
- 6 into 32 → 5 → 5×6=30 → subtract → 2 → add 0 → 20 → 6×3=18 → 2 → repeat
So: 1.35333...
✔ Answer: 1.353 (rounded)
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#### 11. 4.73 ÷ 7
- 7 into 4.73 → 0.675714... (repeating pattern)
Compute:
- 7 into 47 → 6 → 6×7=42 → subtract → 5.3
- 7 into 53 → 7 → 7×7=49 → subtract → 4 → 40 → 7×5=35 → 5 → 50 → 7×7=49 → 1 → etc.
✔ Answer: 0.6757... (approx 0.676)
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#### 12. 7.184 ÷ 4
- 4 into 7 → 1 → 1×4=4 → subtract → 3.184
- 4 into 31 → 7 → 7×4=28 → subtract → 3.84
- 4 into 38 → 9 → 9×4=36 → subtract → 2.4
- 4 into 24 → 6 → 6×4=24 → subtract → 0
✔ Answer: 1.796
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## ✔ Final Answers (Rounded to 3 decimal places unless exact):
| Problem | Quotient |
|----------------|----------------|
| 6.5 ÷ 9 | 0.722 |
| 9.29 ÷ 6 | 1.548 |
| 5.8492 ÷ 5 | 1.170 |
| 0.5 ÷ 2 | 0.250 |
| 1.5 ÷ 4 | 0.375 |
| 3.6297 ÷ 9 | 0.403 |
| 1.9 ÷ 7 | 0.271 |
| 5.67 ÷ 3 | 1.890 |
| 0.465 ÷ 2 | 0.233 |
| 8.12 ÷ 6 | 1.353 |
| 4.73 ÷ 7 | 0.676 |
| 7.184 ÷ 4 | 1.796 |
> 💡 Note: Some answers are repeating decimals — for schoolwork, it's common to round to 3 decimal places unless otherwise specified.
---
Let me know if you’d like to see long division steps for any specific problem!
We’ll go row by row.
---
🔹 Row 1:
#### 1. 6.5 ÷ 9
- 9 goes into 6.5 → 0 times. Add a decimal point and zero: 65 tenths.
- 9 × 7 = 63 → subtract → remainder 2 → bring down 0 → 20 hundredths.
- 9 × 2 = 18 → remainder 2 → bring down 0 → 20 again → repeats.
- So: 0.722... (repeating)
✔ Answer: 0.722... or 0.7̅2̅ (but for practical purposes, often rounded to 3 decimals: 0.722)
---
#### 2. 9.29 ÷ 6
- 6 goes into 9 → 1 time → 1×6=6 → subtract → 3.29
- Bring down → 32 (tenths) → 6×5=30 → subtract → 2.9
- Bring down → 29 (hundredths) → 6×4=24 → subtract → 5 → add 0 → 50 thousandths
- 6×8=48 → subtract → 2 → repeat...
So: 1.548333...
✔ Answer: 1.548 (rounded to 3 decimals)
---
#### 3. 5.8492 ÷ 5
- 5 goes into 5 → 1 → subtract → 0.8492
- 5 into 8 → 1 → 1×5=5 → subtract → 3.492
- 5 into 34 → 6 → 6×5=30 → subtract → 4.92
- 5 into 49 → 9 → 9×5=45 → subtract → 4.2
- 5 into 42 → 8 → 8×5=40 → subtract → 2 → add 0 → 20 → 5×4=20
So: 1.16984
✔ Answer: 1.16984
---
#### 4. 0.5 ÷ 2
- 2 into 0.5 → 0.25
✔ Answer: 0.25
---
🔹 Row 2:
#### 5. 1.5 ÷ 4
- 4 into 1.5 → 0.375
✔ Answer: 0.375
---
#### 6. 3.6297 ÷ 9
- 9 into 3.6 → 0.4 → 4×9=3.6 → subtract → 0.0297
- 9 into 29 → 3 → 3×9=27 → subtract → 27
- 9 into 27 → 3 → 3×9=27 → subtract → 0
So: 0.4033
✔ Answer: 0.4033
---
#### 7. 1.9 ÷ 7
- 7 into 1.9 → 0.27142857... (repeating)
Let’s compute:
- 7 into 19 → 2 → 2×7=14 → subtract → 5 → 50 → 7×7=49 → 1 → 10 → 7×1=7 → 3 → 30 → 7×4=28 → 2 → etc.
✔ Answer: 0.2714... (approx 0.271)
---
#### 8. 5.67 ÷ 3
- 3 into 5 → 1 → 1×3=3 → subtract → 2.67
- 3 into 26 → 8 → 8×3=24 → subtract → 2.7
- 3 into 27 → 9 → 9×3=27 → subtract → 0
✔ Answer: 1.89
---
🔹 Row 3:
#### 9. 0.465 ÷ 2
- 2 into 0.465 → 0.2325
✔ Answer: 0.2325
---
#### 10. 8.12 ÷ 6
- 6 into 8 → 1 → 1×6=6 → subtract → 2.12
- 6 into 21 → 3 → 3×6=18 → subtract → 3.2
- 6 into 32 → 5 → 5×6=30 → subtract → 2 → add 0 → 20 → 6×3=18 → 2 → repeat
So: 1.35333...
✔ Answer: 1.353 (rounded)
---
#### 11. 4.73 ÷ 7
- 7 into 4.73 → 0.675714... (repeating pattern)
Compute:
- 7 into 47 → 6 → 6×7=42 → subtract → 5.3
- 7 into 53 → 7 → 7×7=49 → subtract → 4 → 40 → 7×5=35 → 5 → 50 → 7×7=49 → 1 → etc.
✔ Answer: 0.6757... (approx 0.676)
---
#### 12. 7.184 ÷ 4
- 4 into 7 → 1 → 1×4=4 → subtract → 3.184
- 4 into 31 → 7 → 7×4=28 → subtract → 3.84
- 4 into 38 → 9 → 9×4=36 → subtract → 2.4
- 4 into 24 → 6 → 6×4=24 → subtract → 0
✔ Answer: 1.796
---
## ✔ Final Answers (Rounded to 3 decimal places unless exact):
| Problem | Quotient |
|----------------|----------------|
| 6.5 ÷ 9 | 0.722 |
| 9.29 ÷ 6 | 1.548 |
| 5.8492 ÷ 5 | 1.170 |
| 0.5 ÷ 2 | 0.250 |
| 1.5 ÷ 4 | 0.375 |
| 3.6297 ÷ 9 | 0.403 |
| 1.9 ÷ 7 | 0.271 |
| 5.67 ÷ 3 | 1.890 |
| 0.465 ÷ 2 | 0.233 |
| 8.12 ÷ 6 | 1.353 |
| 4.73 ÷ 7 | 0.676 |
| 7.184 ÷ 4 | 1.796 |
> 💡 Note: Some answers are repeating decimals — for schoolwork, it's common to round to 3 decimal places unless otherwise specified.
---
Let me know if you’d like to see long division steps for any specific problem!
Parent Tip: Review the logic above to help your child master the concept of dividing a decimal by a whole number worksheet.