Sure! Let’s solve each of these
4-digit ÷ 2-digit division problems with remainders step by step.
We’ll use long division for each. The goal is to find the
quotient (Q) and the
remainder (R) such that:
> Dividend = Divisor × Quotient + Remainder
> and 0 ≤ Remainder < Divisor
---
1. 7523 ÷ 28
Let’s divide:
- 28 goes into 75 → 2 times (28×2=56), subtract → 75−56=19
- Bring down 2 → 192
- 28 into 192 → 6 times (28×6=168), subtract → 192−168=24
- Bring down 3 → 243
- 28 into 243 → 8 times (28×8=224), subtract → 243−224=19
✔ Quotient = 268, Remainder = 19
---
2. 1954 ÷ 47
- 47 into 195 → 4 times (47×4=188), subtract → 195−188=7
- Bring down 4 → 74
- 47 into 74 → 1 time (47×1=47), subtract → 74−47=27
✔ Quotient = 41, Remainder = 27
---
3. 9573 ÷ 17
- 17 into 95 → 5 times (17×5=85), subtract → 95−85=10
- Bring down 7 → 107
- 17 into 107 → 6 times (17×6=102), subtract → 107−102=5
- Bring down 3 → 53
- 17 into 53 → 3 times (17×3=51), subtract → 53−51=2
✔ Quotient = 563, Remainder = 2
---
4. 4942 ÷ 65
- 65 into 494 → 7 times (65×7=455), subtract → 494−455=39
- Bring down 2 → 392
- 65 into 392 → 6 times (65×6=390), subtract → 392−390=2
✔ Quotient = 76, Remainder = 2
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5. 8386 ÷ 92
- 92 into 838 → 9 times (92×9=828), subtract → 838−828=10
- Bring down 6 → 106
- 92 into 106 → 1 time (92×1=92), subtract → 106−92=14
✔ Quotient = 91, Remainder = 14
---
6. 6091 ÷ 54
- 54 into 60 → 1 time (54×1=54), subtract → 60−54=6
- Bring down 9 → 69
- 54 into 69 → 1 time (54×1=54), subtract → 69−54=15
- Bring down 1 → 151
- 54 into 151 → 2 times (54×2=108), subtract → 151−108=43
✔ Quotient = 112, Remainder = 43
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7. 7527 ÷ 98
- 98 into 752 → 7 times (98×7=686), subtract → 752−686=66
- Bring down 7 → 667
- 98 into 667 → 6 times (98×6=588), subtract → 667−588=79
✔ Quotient = 76, Remainder = 79
---
8. 7659 ÷ 38
- 38 into 76 → 2 times (38×2=76), subtract → 0
- Bring down 5 → 5
- 38 into 5 → 0 times, so write 0
- Bring down 9 → 59
- 38 into 59 → 1 time (38×1=38), subtract → 59−38=21
✔ Quotient = 201, Remainder = 21
---
##
✔ Final Answers:
| Problem | Quotient | R (Remainder) |
|----------------|----------|---------------|
| 7523 ÷ 28 | 268 | 19 |
| 1954 ÷ 47 | 41 | 27 |
| 9573 ÷ 17 | 563 | 2 |
| 4942 ÷ 65 | 76 | 2 |
| 8386 ÷ 92 | 91 | 14 |
| 6091 ÷ 54 | 112 | 43 |
| 7527 ÷ 98 | 76 | 79 |
| 7659 ÷ 38 | 201 | 21 |
You can now fill in the worksheet with these answers!
Let me know if you’d like to see any of the long divisions visually drawn out. 😊
Parent Tip: Review the logic above to help your child master the concept of four digit division worksheet.
