Let's solve each of the division problems using
partial quotients (also known as the "partial quotients method" or "chunking"). This method involves subtracting multiples of the divisor from the dividend in steps until you reach zero or a remainder less than the divisor.
---
🔷 How Partial Quotients Work:
1. Estimate how many times the divisor fits into the dividend.
2. Multiply and subtract that amount.
3. Repeat with smaller chunks until the remainder is less than the divisor.
4. Add up all the partial quotients to get the final quotient.
---
We'll go through each problem step by step.
---
a. 36 ÷ 2
We want to divide 36 by 2.
- 2 × 10 = 20 → subtract: 36 - 20 = 16
- 2 × 8 = 16 → subtract: 16 - 16 = 0
Partial quotients: 10 + 8 =
18
✔ Answer:
18
---
b. 78 ÷ 3
- 3 × 20 = 60 → 78 - 60 = 18
- 3 × 6 = 18 → 18 - 18 = 0
Partial quotients: 20 + 6 =
26
✔ Answer:
26
---
c. 80 ÷ 5
- 5 × 10 = 50 → 80 - 50 = 30
- 5 × 6 = 30 → 30 - 30 = 0
Partial quotients: 10 + 6 =
16
✔ Answer:
16
---
d. 92 ÷ 4
- 4 × 20 = 80 → 92 - 80 = 12
- 4 × 3 = 12 → 12 - 12 = 0
Partial quotients: 20 + 3 =
23
✔ Answer:
23
---
e. 84 ÷ 6
- 6 × 10 = 60 → 84 - 60 = 24
- 6 × 4 = 24 → 24 - 24 = 0
Partial quotients: 10 + 4 =
14
✔ Answer:
14
---
f. 68 ÷ 2
- 2 × 30 = 60 → 68 - 60 = 8
- 2 × 4 = 8 → 8 - 8 = 0
Partial quotients: 30 + 4 =
34
✔ Answer:
34
---
g. 51 ÷ 3
- 3 × 10 = 30 → 51 - 30 = 21
- 3 × 7 = 21 → 21 - 21 = 0
Partial quotients: 10 + 7 =
17
✔ Answer:
17
---
h. 80 ÷ 4
- 4 × 20 = 80 → 80 - 80 = 0
Only one step needed.
Partial quotient:
20
✔ Answer:
20
---
i. 96 ÷ 8
- 8 × 10 = 80 → 96 - 80 = 16
- 8 × 2 = 16 → 16 - 16 = 0
Partial quotients: 10 + 2 =
12
✔ Answer:
12
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| a. 36 ÷ 2 |
18 |
| b. 78 ÷ 3 |
26 |
| c. 80 ÷ 5 |
16 |
| d. 92 ÷ 4 |
23 |
| e. 84 ÷ 6 |
14 |
| f. 68 ÷ 2 |
34 |
| g. 51 ÷ 3 |
17 |
| h. 80 ÷ 4 |
20 |
| i. 96 ÷ 8 |
12 |
---
📌 Tips for Students:
- Choose easy multiples (like 10, 5, 2) to start.
- Subtract and keep going until you reach zero.
- Add the partial quotients to get the total quotient.
This method helps build number sense and understanding of division without relying on memorized long division steps.
Let me know if you'd like this formatted as a printable worksheet!
Parent Tip: Review the logic above to help your child master the concept of divide using partial quotients worksheet.
