Printable division worksheet using the area model method to solve division problems with no remainders.

Let's solve each of the division problems using the Area Model method, which breaks down the dividend into parts that are easier to divide. This method helps visualize how division works by splitting the total area (dividend) into smaller, manageable sections.

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🔷 Problem 1: 438 ÷ 6 = ?

Already solved as 79, and the model shows:
- 6 × 70 = 420 → subtract from 438 → remainder 18
- 6 × 9 = 18 → fits perfectly

✔ So:
70 + 9 = 79

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🔷 Problem 2: 261 ÷ 9 = ?

We're given:
- First part: 180 (which is 9 × 20)
- Remaining: 81 (which is 9 × 9)

So:
- 9 × 20 = 180 → subtract from 261 → 81 left
- 9 × 9 = 81 → fits exactly

✔ Total: 20 + 9 = 29

Answer: 29

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🔷 Problem 3: 792 ÷ 4 = ?

Given:
- 400 is already used (4 × 100 = 400)
- Subtract: 792 – 400 = 392

Now divide 392 ÷ 4:
Try breaking it down:
- 4 × 90 = 360 → subtract: 392 – 360 = 32
- 4 × 8 = 32 → perfect!

So:
- 100 (from 400)
- 90 (from 360)
- 8 (from 32)

Total: 100 + 90 + 8 = 198

✔ Answer: 198

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🔷 Problem 4: 530 ÷ 2 = ?

Given:
- 400 is used (2 × 200 = 400)
- Subtract: 530 – 400 = 130

Now divide 130 ÷ 2:
- 2 × 60 = 120 → subtract: 130 – 120 = 10
- 2 × 5 = 10 → perfect!

So:
- 200 (from 400)
- 60 (from 120)
- 5 (from 10)

Total: 200 + 60 + 5 = 265

✔ Answer: 265

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🔷 Problem 5: 819 ÷ 3 = ?

Given:
- 600 is used (3 × 200 = 600)
- Subtract: 819 – 600 = 219

Now divide 219 ÷ 3:
- 3 × 70 = 210 → subtract: 219 – 210 = 9
- 3 × 3 = 9 → perfect!

So:
- 200 (from 600)
- 70 (from 210)
- 3 (from 9)

Total: 200 + 70 + 3 = 273

✔ Answer: 273

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🔷 Problem 6: 944 ÷ 8 = ?

Given:
- 800 is used (8 × 100 = 800)
- Subtract: 944 – 800 = 144

Now divide 144 ÷ 8:
- 8 × 10 = 80 → subtract: 144 – 80 = 64
- 8 × 8 = 64 → perfect!

So:
- 100 (from 800)
- 10 (from 80)
- 8 (from 64)

Total: 100 + 10 + 8 = 118

✔ Answer: 118

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1) 438 ÷ 6 | 79 |
| 2) 261 ÷ 9 | 29 |
| 3) 792 ÷ 4 | 198 |
| 4) 530 ÷ 2 | 265 |
| 5) 819 ÷ 3 | 273 |
| 6) 944 ÷ 8 | 118 |

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📌 Summary of Area Model Steps:

1. Break the dividend into chunks that are easy to divide.
2. Use multiplication facts to find how many times the divisor fits into each chunk.
3. Add up all the partial quotients.

This method is excellent for visual learners and builds strong number sense!

Let me know if you'd like a diagram explanation or printable version!