Let's solve each of these
2-digit by 1-digit division problems with remainders step by step.
We'll use
long division for each, and write the
quotient and
remainder for each problem.
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1) 3 ) 29
- How many times does 3 go into 2? → 0 (since 3 > 2)
- Bring down the 9 → now we have 29
- How many times does 3 go into 29?
- 3 × 9 = 27 → fits
- 3 × 10 = 30 → too big
- So, 9 times
- 29 − 27 = 2
✔ Answer: 9 R2
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2) 5 ) 28
- 5 goes into 2 → 0
- Bring down 8 → 28
- 5 × 5 = 25 → fits
- 5 × 6 = 30 → too big
- 28 − 25 = 3
✔ Answer: 5 R3
---
3) 2 ) 17
- 2 goes into 1 → 0
- Bring down 7 → 17
- 2 × 8 = 16 → fits
- 2 × 9 = 18 → too big
- 17 − 16 = 1
✔ Answer: 8 R1
---
4) 4 ) 38
- 4 goes into 3 → 0
- Bring down 8 → 38
- 4 × 9 = 36 → fits
- 4 × 10 = 40 → too big
- 38 − 36 = 2
✔ Answer: 9 R2
---
5) 5 ) 46
- 5 goes into 4 → 0
- Bring down 6 → 46
- 5 × 9 = 45 → fits
- 5 × 10 = 50 → too big
- 46 − 45 = 1
✔ Answer: 9 R1
---
6) 3 ) 23
- 3 goes into 2 → 0
- Bring down 3 → 23
- 3 × 7 = 21 → fits
- 3 × 8 = 24 → too big
- 23 − 21 = 2
✔ Answer: 7 R2
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7) 2 ) 18
- 2 goes into 1 → 0
- Bring down 8 → 18
- 2 × 9 = 18 → fits exactly
- 18 − 18 = 0
✔ Answer: 9 R0
---
8) 4 ) 33
- 4 goes into 3 → 0
- Bring down 3 → 33
- 4 × 8 = 32 → fits
- 4 × 9 = 36 → too big
- 33 − 32 = 1
✔ Answer: 8 R1
---
9) 5 ) 42
- 5 goes into 4 → 0
- Bring down 2 → 42
- 5 × 8 = 40 → fits
- 5 × 9 = 45 → too big
- 42 − 40 = 2
✔ Answer: 8 R2
---
10) 3 ) 27
- 3 goes into 2 → 0
- Bring down 7 → 27
- 3 × 9 = 27 → fits exactly
- 27 − 27 = 0
✔ Answer: 9 R0
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11) 5 ) 49
- 5 goes into 4 → 0
- Bring down 9 → 49
- 5 × 9 = 45 → fits
- 5 × 10 = 50 → too big
- 49 − 45 = 4
✔ Answer: 9 R4
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12) 4 ) 43
- 4 goes into 4 → 1
- 1 × 4 = 4 → subtract → 4 − 4 = 0
- Bring down 3 → 3
- 4 goes into 3 → 0
- Remainder = 3
So:
- Quotient: 10 (because 1 in tens place, 0 in ones)
- 4 × 10 = 40
- 43 − 40 = 3
✔ Answer: 10 R3
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✔ Final Answers:
1) 9 R2
2) 5 R3
3) 8 R1
4) 9 R2
5) 9 R1
6) 7 R2
7) 9 R0
8) 8 R1
9) 8 R2
10) 9 R0
11) 9 R4
12) 10 R3
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Let me know if you'd like a visual long division layout for any of them!
Parent Tip: Review the logic above to help your child master the concept of short division worksheet for grade.
