Let's solve each of these division problems step by step. We are dividing two-digit numbers by two-digit numbers and need to find both the
quotient (the result) and the
remainder (R).
---
1. $ 31 \div 12 $
- How many times does 12 go into 31?
- $ 12 \times 2 = 24 $
- $ 12 \times 3 = 36 $ → too big
- So, quotient = 2
- Remainder: $ 31 - 24 = 7 $
-
✔ Answer: $ 31 \div 12 = 2 $, $ R = 7 $
---
2. $ 62 \div 19 $
- $ 19 \times 3 = 57 $
- $ 19 \times 4 = 76 $ → too big
- Quotient = 3
- Remainder: $ 62 - 57 = 5 $
-
✔ Answer: $ 62 \div 19 = 3 $, $ R = 5 $
---
3. $ 53 \div 13 $
- $ 13 \times 4 = 52 $
- $ 13 \times 5 = 65 $ → too big
- Quotient = 4
- Remainder: $ 53 - 52 = 1 $
-
✔ Answer: $ 53 \div 13 = 4 $, $ R = 1 $
---
4. $ 35 \div 15 $
- $ 15 \times 2 = 30 $
- $ 15 \times 3 = 45 $ → too big
- Quotient = 2
- Remainder: $ 35 - 30 = 5 $
-
✔ Answer: $ 35 \div 15 = 2 $, $ R = 5 $
---
5. $ 66 \div 28 $
- $ 28 \times 2 = 56 $
- $ 28 \times 3 = 84 $ → too big
- Quotient = 2
- Remainder: $ 66 - 56 = 10 $
-
✔ Answer: $ 66 \div 28 = 2 $, $ R = 10 $
---
6. $ 83 \div 24 $
- $ 24 \times 3 = 72 $
- $ 24 \times 4 = 96 $ → too big
- Quotient = 3
- Remainder: $ 83 - 72 = 11 $
-
✔ Answer: $ 83 \div 24 = 3 $, $ R = 11 $
---
7. $ 89 \div 23 $
- $ 23 \times 3 = 69 $
- $ 23 \times 4 = 92 $ → too big
- Quotient = 3
- Remainder: $ 89 - 69 = 20 $
-
✔ Answer: $ 89 \div 23 = 3 $, $ R = 20 $
---
8. $ 81 \div 25 $
- $ 25 \times 3 = 75 $
- $ 25 \times 4 = 100 $ → too big
- Quotient = 3
- Remainder: $ 81 - 75 = 6 $
-
✔ Answer: $ 81 \div 25 = 3 $, $ R = 6 $
---
✔ Final Answers:
| Problem | Quotient | R |
|----------------|----------|-----|
| 31 ÷ 12 | 2 | 7 |
| 62 ÷ 19 | 3 | 5 |
| 53 ÷ 13 | 4 | 1 |
| 35 ÷ 15 | 2 | 5 |
| 66 ÷ 28 | 2 | 10 |
| 83 ÷ 24 | 3 | 11 |
| 89 ÷ 23 | 3 | 20 |
| 81 ÷ 25 | 3 | 6 |
You can now fill in the blanks on the worksheet accordingly! Let me know if you'd like a printable version or explanation with long division steps.
Parent Tip: Review the logic above to help your child master the concept of two digit division worksheet.
