Grade 6 Decimals Worksheet: Long Division of Decimals by Whole Numbers (with Rounding)

Sure! Let’s solve each of these long division problems where we divide a decimal by a whole number, and round the quotient to 3 decimal places if needed.

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Problem 1: 5 ) 36.223

We divide 36.223 by 5.

- 5 goes into 36 → 7 times (5×7=35), remainder 1.
- Bring down 2 → 12. 5 goes into 12 → 2 times (5×2=10), remainder 2.
- Bring down 2 → 22. 5 goes into 22 → 4 times (5×4=20), remainder 2.
- Bring down 3 → 23. 5 goes into 23 → 4 times (5×4=20), remainder 3.
- Add a zero → 30. 5 goes into 30 → 6 times exactly.

So, 36.223 ÷ 5 = 7.2446

➡️ Rounded to 3 decimal places: 7.245

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Problem 2: 9 ) 71.32

Divide 71.32 by 9.

- 9 into 71 → 7 times (9×7=63), remainder 8.
- Bring down 3 → 83. 9 into 83 → 9 times (9×9=81), remainder 2.
- Bring down 2 → 22. 9 into 22 → 2 times (9×2=18), remainder 4.
- Add a zero → 40. 9 into 40 → 4 times (9×4=36), remainder 4.
- Add another zero → 40 again → repeat.

So, 71.32 ÷ 9 = 7.9244...

➡️ Rounded to 3 decimal places: 7.924

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Problem 3: 8 ) 993.0

Divide 993.0 by 8.

- 8 into 9 → 1, remainder 1.
- Bring down 9 → 19. 8 into 19 → 2, remainder 3.
- Bring down 3 → 33. 8 into 33 → 4, remainder 1.
- Bring down 0 → 10. 8 into 10 → 1, remainder 2.
- Add a zero → 20. 8 into 20 → 2, remainder 4.
- Add a zero → 40. 8 into 40 → 5 exactly.

So, 993.0 ÷ 8 = 124.125

➡️ Already 3 decimal places: 124.125

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Problem 4: 2 ) 4.423

Divide 4.423 by 2.

- 2 into 4 → 2, remainder 0.
- Bring down 4 → 4. 2 into 4 → 2, remainder 0.
- Bring down 2 → 2. 2 into 2 → 1, remainder 0.
- Bring down 3 → 3. 2 into 3 → 1, remainder 1.
- Add a zero → 10. 2 into 10 → 5.

So, 4.423 ÷ 2 = 2.2115

➡️ Rounded to 3 decimal places: 2.212

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Problem 5: 5 ) 2,299.9

Divide 2299.9 by 5.

- 5 into 22 → 4 (5×4=20), remainder 2.
- Bring down 9 → 29. 5 into 29 → 5 (5×5=25), remainder 4.
- Bring down 9 → 49. 5 into 49 → 9 (5×9=45), remainder 4.
- Bring down 9 → 49. 5 into 49 → 9 (again), remainder 4.
- Add a zero → 40. 5 into 40 → 8.

So, 2299.9 ÷ 5 = 459.98

➡️ We need 3 decimal places → add a zero: 459.980

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Problem 6: 5 ) 554.6

Divide 554.6 by 5.

- 5 into 5 → 1, remainder 0.
- Bring down 5 → 5. 5 into 5 → 1, remainder 0.
- Bring down 4 → 4. 5 into 4 → 0, remainder 4.
- Bring down 6 → 46. 5 into 46 → 9 (5×9=45), remainder 1.
- Add a zero → 10. 5 into 10 → 2.

So, 554.6 ÷ 5 = 110.92

➡️ To 3 decimal places: 110.920

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Problem 7: 4 ) 571.5

Divide 571.5 by 4.

- 4 into 5 → 1, remainder 1.
- Bring down 7 → 17. 4 into 17 → 4 (4×4=16), remainder 1.
- Bring down 1 → 11. 4 into 11 → 2 (4×2=8), remainder 3.
- Bring down 5 → 35. 4 into 35 → 8 (4×8=32), remainder 3.
- Add a zero → 30. 4 into 30 → 7 (4×7=28), remainder 2.
- Add a zero → 20. 4 into 20 → 5.

So, 571.5 ÷ 4 = 142.875

➡️ Already 3 decimal places: 142.875

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Problem 8: 5 ) 0.844

Divide 0.844 by 5.

- 5 into 0 → 0. Place decimal point.
- 5 into 8 → 1 (5×1=5), remainder 3.
- Bring down 4 → 34. 5 into 34 → 6 (5×6=30), remainder 4.
- Bring down 4 → 44. 5 into 44 → 8 (5×8=40), remainder 4.
- Add a zero → 40. 5 into 40 → 8.

So, 0.844 ÷ 5 = 0.1688

➡️ Rounded to 3 decimal places: 0.169

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Problem 9: 2 ) 372.57

Divide 372.57 by 2.

- 2 into 3 → 1, remainder 1.
- Bring down 7 → 17. 2 into 17 → 8, remainder 1.
- Bring down 2 → 12. 2 into 12 → 6, remainder 0.
- Bring down 5 → 5. 2 into 5 → 2, remainder 1.
- Bring down 7 → 17. 2 into 17 → 8, remainder 1.
- Add a zero → 10. 2 into 10 → 5.

So, 372.57 ÷ 2 = 186.285

➡️ Already 3 decimal places: 186.285

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## ✔ Final Answers (Rounded to 3 Decimal Places):

1. 7.245
2. 7.924
3. 124.125
4. 2.212
5. 459.980
6. 110.920
7. 142.875
8. 0.169
9. 186.285

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