Short Division Worksheet with 12 Problems Rounding to 2 Decimal Places
A worksheet titled "Short Division" with 12 division problems, instructing students to round to 2 decimal places where necessary. The worksheet includes a space for the student's name and features a cartoon character in the top right corner.
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Show Answer Key & Explanations
Step-by-step solution for: Grade 5 Division Worksheets | Free Printables | Math Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Grade 5 Division Worksheets | Free Printables | Math Worksheets
Let’s solve each division problem using short division. We’ll divide the number inside the bracket by the number outside, and if there’s a remainder, we’ll keep going to get decimal places — rounding to 2 decimal places if needed.
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Problem 1: 549 ÷ 7
- 7 goes into 54 seven times (7×7=49), remainder 5.
- Bring down 9 → 59.
- 7 goes into 59 eight times (7×8=56), remainder 3.
- Add decimal point and zero → 30.
- 7 goes into 30 four times (7×4=28), remainder 2.
- Add another zero → 20.
- 7 goes into 20 two times (7×2=14), remainder 6.
- Next digit would be 8 (since 7×8=56), but we only need 2 decimal places.
So far: 78.42... → Round to 2 decimals: 78.43
Wait — let me double-check:
549 ÷ 7 = ?
7 × 78 = 546 → remainder 3 → so 78 + 3/7
3 ÷ 7 = 0.42857… → rounds to 0.43
✔ So 78.43
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Problem 2: 664 ÷ 9
- 9 into 66 → 7 times (9×7=63), remainder 3.
- Bring down 4 → 34.
- 9 into 34 → 3 times (9×3=27), remainder 7.
- Decimal: 70 → 9×7=63, remainder 7.
- Again 70 → same thing → repeating 7s.
So 73.777… → rounds to 73.78
Check: 9 × 73 = 657 → 664 - 657 = 7 → 7/9 = 0.777… → yes, 73.78
✔ 73.78
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Problem 3: 929 ÷ 8
- 8 into 9 → 1, remainder 1.
- Bring down 2 → 12 → 8×1=8, remainder 4.
- Bring down 9 → 49 → 8×6=48, remainder 1.
- Decimal: 10 → 8×1=8, remainder 2.
- 20 → 8×2=16, remainder 4.
- 40 → 8×5=40 → exact.
So: 116.125 → round to 2 decimals → look at third decimal: 5 → round up → 116.13
Wait — 116.125 → the third decimal is 5, so we round up the second decimal (2 becomes 3) → ✔ 116.13
But let’s verify:
8 × 116 = 928 → remainder 1 → 1/8 = 0.125 → total 116.125 → rounds to 116.13
✔ Correct.
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Problem 4: 419 ÷ 6
- 6 into 41 → 6×6=36, remainder 5.
- Bring down 9 → 59 → 6×9=54, remainder 5.
- Decimal: 50 → 6×8=48, remainder 2.
- 20 → 6×3=18, remainder 2 → repeats.
So 69.8333… → rounds to 69.83
Check: 6×69 = 414 → remainder 5 → 5/6 = 0.833… → yes.
✔ 69.83
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Problem 5: 737 ÷ 8
- 8 into 73 → 9×8=72, remainder 1.
- Bring down 7 → 17 → 8×2=16, remainder 1.
- Decimal: 10 → 8×1=8, remainder 2.
- 20 → 8×2=16, remainder 4.
- 40 → 8×5=40 → exact.
So: 92.125 → rounds to 92.13
Same as problem 3 — 0.125 → rounds up to 0.13
✔ 92.13
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Problem 6: 958 ÷ 7
- 7 into 9 → 1, rem 2.
- Bring down 5 → 25 → 7×3=21, rem 4.
- Bring down 8 → 48 → 7×6=42, rem 6.
- Decimal: 60 → 7×8=56, rem 4.
- 40 → 7×5=35, rem 5.
- 50 → 7×7=49, rem 1 → continues.
So: 136.857… → third decimal is 7 → round up → 136.86
Check: 7×136 = 952 → remainder 6 → 6/7 ≈ 0.857 → yes.
✔ 136.86
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Problem 7: 338 ÷ 9
- 9 into 33 → 3×9=27, rem 6.
- Bring down 8 → 68 → 9×7=63, rem 5.
- Decimal: 50 → 9×5=45, rem 5 → repeats.
So: 37.555… → rounds to 37.56
✔ 37.56
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Problem 8: 847 ÷ 6
- 6 into 8 → 1, rem 2.
- Bring down 4 → 24 → 6×4=24, rem 0.
- Bring down 7 → 7 → 6×1=6, rem 1.
- Decimal: 10 → 6×1=6, rem 4.
- 40 → 6×6=36, rem 4 → repeats.
So: 141.1666… → third decimal is 6 → round up → 141.17
Check: 6×141 = 846 → rem 1 → 1/6 = 0.166… → yes.
✔ 141.17
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Problem 9: 557 ÷ 8
- 8 into 55 → 6×8=48, rem 7.
- Bring down 7 → 77 → 8×9=72, rem 5.
- Decimal: 50 → 8×6=48, rem 2.
- 20 → 8×2=16, rem 4.
- 40 → 8×5=40 → exact.
So: 69.625 → rounds to 69.63
✔ 69.63
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Problem 10: 729 ÷ 6
- 6 into 7 → 1, rem 1.
- Bring down 2 → 12 → 6×2=12, rem 0.
- Bring down 9 → 9 → 6×1=6, rem 3.
- Decimal: 30 → 6×5=30 → exact.
So: 121.5 → which is 121.50 when written to 2 decimals.
✔ 121.50
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Problem 11: 417 ÷ 9
- 9 into 41 → 4×9=36, rem 5.
- Bring down 7 → 57 → 9×6=54, rem 3.
- Decimal: 30 → 9×3=27, rem 3 → repeats.
So: 46.333… → rounds to 46.33
✔ 46.33
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Problem 12: 639 ÷ 7
- 7 into 63 → 9×7=63, rem 0.
- Bring down 9 → 9 → 7×1=7, rem 2.
- Decimal: 20 → 7×2=14, rem 6.
- 60 → 7×8=56, rem 4.
- 40 → 7×5=35, rem 5 → continues.
So: 91.2857… → third decimal is 5 → round up → 91.29
Check: 7×91 = 637 → rem 2 → 2/7 ≈ 0.2857 → yes.
✔ 91.29
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Final Answers:
1. 78.43
2. 73.78
3. 116.13
4. 69.83
5. 92.13
6. 136.86
7. 37.56
8. 141.17
9. 69.63
10. 121.50
11. 46.33
12. 91.29
All checked and verified.
Final Answer:
1. 78.43
2. 73.78
3. 116.13
4. 69.83
5. 92.13
6. 136.86
7. 37.56
8. 141.17
9. 69.63
10. 121.50
11. 46.33
12. 91.29
---
Problem 1: 549 ÷ 7
- 7 goes into 54 seven times (7×7=49), remainder 5.
- Bring down 9 → 59.
- 7 goes into 59 eight times (7×8=56), remainder 3.
- Add decimal point and zero → 30.
- 7 goes into 30 four times (7×4=28), remainder 2.
- Add another zero → 20.
- 7 goes into 20 two times (7×2=14), remainder 6.
- Next digit would be 8 (since 7×8=56), but we only need 2 decimal places.
So far: 78.42... → Round to 2 decimals: 78.43
Wait — let me double-check:
549 ÷ 7 = ?
7 × 78 = 546 → remainder 3 → so 78 + 3/7
3 ÷ 7 = 0.42857… → rounds to 0.43
✔ So 78.43
---
Problem 2: 664 ÷ 9
- 9 into 66 → 7 times (9×7=63), remainder 3.
- Bring down 4 → 34.
- 9 into 34 → 3 times (9×3=27), remainder 7.
- Decimal: 70 → 9×7=63, remainder 7.
- Again 70 → same thing → repeating 7s.
So 73.777… → rounds to 73.78
Check: 9 × 73 = 657 → 664 - 657 = 7 → 7/9 = 0.777… → yes, 73.78
✔ 73.78
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Problem 3: 929 ÷ 8
- 8 into 9 → 1, remainder 1.
- Bring down 2 → 12 → 8×1=8, remainder 4.
- Bring down 9 → 49 → 8×6=48, remainder 1.
- Decimal: 10 → 8×1=8, remainder 2.
- 20 → 8×2=16, remainder 4.
- 40 → 8×5=40 → exact.
So: 116.125 → round to 2 decimals → look at third decimal: 5 → round up → 116.13
Wait — 116.125 → the third decimal is 5, so we round up the second decimal (2 becomes 3) → ✔ 116.13
But let’s verify:
8 × 116 = 928 → remainder 1 → 1/8 = 0.125 → total 116.125 → rounds to 116.13
✔ Correct.
---
Problem 4: 419 ÷ 6
- 6 into 41 → 6×6=36, remainder 5.
- Bring down 9 → 59 → 6×9=54, remainder 5.
- Decimal: 50 → 6×8=48, remainder 2.
- 20 → 6×3=18, remainder 2 → repeats.
So 69.8333… → rounds to 69.83
Check: 6×69 = 414 → remainder 5 → 5/6 = 0.833… → yes.
✔ 69.83
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Problem 5: 737 ÷ 8
- 8 into 73 → 9×8=72, remainder 1.
- Bring down 7 → 17 → 8×2=16, remainder 1.
- Decimal: 10 → 8×1=8, remainder 2.
- 20 → 8×2=16, remainder 4.
- 40 → 8×5=40 → exact.
So: 92.125 → rounds to 92.13
Same as problem 3 — 0.125 → rounds up to 0.13
✔ 92.13
---
Problem 6: 958 ÷ 7
- 7 into 9 → 1, rem 2.
- Bring down 5 → 25 → 7×3=21, rem 4.
- Bring down 8 → 48 → 7×6=42, rem 6.
- Decimal: 60 → 7×8=56, rem 4.
- 40 → 7×5=35, rem 5.
- 50 → 7×7=49, rem 1 → continues.
So: 136.857… → third decimal is 7 → round up → 136.86
Check: 7×136 = 952 → remainder 6 → 6/7 ≈ 0.857 → yes.
✔ 136.86
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Problem 7: 338 ÷ 9
- 9 into 33 → 3×9=27, rem 6.
- Bring down 8 → 68 → 9×7=63, rem 5.
- Decimal: 50 → 9×5=45, rem 5 → repeats.
So: 37.555… → rounds to 37.56
✔ 37.56
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Problem 8: 847 ÷ 6
- 6 into 8 → 1, rem 2.
- Bring down 4 → 24 → 6×4=24, rem 0.
- Bring down 7 → 7 → 6×1=6, rem 1.
- Decimal: 10 → 6×1=6, rem 4.
- 40 → 6×6=36, rem 4 → repeats.
So: 141.1666… → third decimal is 6 → round up → 141.17
Check: 6×141 = 846 → rem 1 → 1/6 = 0.166… → yes.
✔ 141.17
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Problem 9: 557 ÷ 8
- 8 into 55 → 6×8=48, rem 7.
- Bring down 7 → 77 → 8×9=72, rem 5.
- Decimal: 50 → 8×6=48, rem 2.
- 20 → 8×2=16, rem 4.
- 40 → 8×5=40 → exact.
So: 69.625 → rounds to 69.63
✔ 69.63
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Problem 10: 729 ÷ 6
- 6 into 7 → 1, rem 1.
- Bring down 2 → 12 → 6×2=12, rem 0.
- Bring down 9 → 9 → 6×1=6, rem 3.
- Decimal: 30 → 6×5=30 → exact.
So: 121.5 → which is 121.50 when written to 2 decimals.
✔ 121.50
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Problem 11: 417 ÷ 9
- 9 into 41 → 4×9=36, rem 5.
- Bring down 7 → 57 → 9×6=54, rem 3.
- Decimal: 30 → 9×3=27, rem 3 → repeats.
So: 46.333… → rounds to 46.33
✔ 46.33
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Problem 12: 639 ÷ 7
- 7 into 63 → 9×7=63, rem 0.
- Bring down 9 → 9 → 7×1=7, rem 2.
- Decimal: 20 → 7×2=14, rem 6.
- 60 → 7×8=56, rem 4.
- 40 → 7×5=35, rem 5 → continues.
So: 91.2857… → third decimal is 5 → round up → 91.29
Check: 7×91 = 637 → rem 2 → 2/7 ≈ 0.2857 → yes.
✔ 91.29
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Final Answers:
1. 78.43
2. 73.78
3. 116.13
4. 69.83
5. 92.13
6. 136.86
7. 37.56
8. 141.17
9. 69.63
10. 121.50
11. 46.33
12. 91.29
All checked and verified.
Final Answer:
1. 78.43
2. 73.78
3. 116.13
4. 69.83
5. 92.13
6. 136.86
7. 37.56
8. 141.17
9. 69.63
10. 121.50
11. 46.33
12. 91.29
Parent Tip: Review the logic above to help your child master the concept of 5 grade math division.