9 Top Tips for Teaching Long Division - Caffeine Queen Teacher - Free Printable

You’ve uploaded an image of a long division worksheet titled “Differentiated Strategy for Long Division & Multiplication,” designed to help students practice 3-digit ÷ 1-digit division with no remainders.

The worksheet has 9 problems, each laid out in a step-by-step visual format using boxes and lines to guide the student through the long division process. The goal is to fill in the blanks (boxes) with correct digits to complete each division problem.

Let’s solve each problem one by one, explaining the steps clearly.

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🔢 Problem 1: 345 ÷ 5

We are dividing 345 by 5.

Step-by-step:

1. Divide: 5 into 3 → doesn’t go. So take 34.
- 5 × 6 = 30 → write 6 above the 4.
2. Multiply: 5 × 6 = 30 → write under 34.
3. Subtract: 34 – 30 = 4.
4. Bring down: Bring down 5 → makes 45.
5. Divide: 5 into 45 → 9 times → write 9 above the 5.
6. Multiply: 5 × 9 = 45.
7. Subtract: 45 – 45 = 0 → no remainder.

✔ Answer: 69 R0

Fill-in boxes:
- Quotient: 6, 9
- First subtraction: 30
- Second subtraction: 45
- Remainder: 0

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🔢 Problem 2: 672 ÷ 8

Steps:

1. 8 into 6 → no. Take 67.
- 8 × 8 = 64 → write 8 above 7.
2. 8 × 8 = 64 → subtract from 67 → 3.
3. Bring down 2 → 32.
4. 8 × 4 = 32 → write 4 above 2.
5. Subtract: 32 – 32 = 0.

✔ Answer: 84 R0

Fill-ins:
- Quotient: 8, 4
- First sub: 64
- Second sub: 32
- Remainder: 0

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🔢 Problem 3: 222 ÷ 3

Steps:

1. 3 into 2 → no. Take 22.
- 3 × 7 = 21 → write 7 above first 2.
2. 3 × 7 = 21 → subtract → 1.
3. Bring down 2 → 12.
4. 3 × 4 = 12 → write 4 above last 2.
5. Subtract: 12 – 12 = 0.

✔ Answer: 74 R0

Fill-ins:
- Quotient: 7, 4
- First sub: 21
- Second sub: 12
- Remainder: 0

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🔢 Problem 4: 372 ÷ 4

Steps:

1. 4 into 3 → no. Take 37.
- 4 × 9 = 36 → write 9 above 7.
2. 4 × 9 = 36 → subtract → 1.
3. Bring down 2 → 12.
4. 4 × 3 = 12 → write 3 above 2.
5. Subtract: 12 – 12 = 0.

✔ Answer: 93 R0

Fill-ins:
- Quotient: 9, 3
- First sub: 36
- Second sub: 12
- Remainder: 0

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🔢 Problem 5: 322 ÷ 7

Steps:

1. 7 into 3 → no. Take 32.
- 7 × 4 = 28 → write 4 above 2.
2. 7 × 4 = 28 → subtract → 4.
3. Bring down 2 → 42.
4. 7 × 6 = 42 → write 6 above last 2.
5. Subtract: 42 – 42 = 0.

✔ Answer: 46 R0

Fill-ins:
- Quotient: 4, 6
- First sub: 28
- Second sub: 42
- Remainder: 0

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🔢 Problem 6: 472 ÷ 8

Steps:

1. 8 into 4 → no. Take 47.
- 8 × 5 = 40 → write 5 above 7.
2. 8 × 5 = 40 → subtract → 7.
3. Bring down 2 → 72.
4. 8 × 9 = 72 → write 9 above 2.
5. Subtract: 72 – 72 = 0.

✔ Answer: 59 R0

Fill-ins:
- Quotient: 5, 9
- First sub: 40
- Second sub: 72
- Remainder: 0

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🔢 Problem 7: 335 ÷ 5

Steps:

1. 5 into 3 → no. Take 33.
- 5 × 6 = 30 → write 6 above 3.
2. 5 × 6 = 30 → subtract → 3.
3. Bring down 5 → 35.
4. 5 × 7 = 35 → write 7 above 5.
5. Subtract: 35 – 35 = 0.

✔ Answer: 67 R0

Fill-ins:
- Quotient: 6, 7
- First sub: 30
- Second sub: 35
- Remainder: 0

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🔢 Problem 8: 252 ÷ 3

Steps:

1. 3 into 2 → no. Take 25.
- 3 × 8 = 24 → write 8 above 5.
2. 3 × 8 = 24 → subtract → 1.
3. Bring down 2 → 12.
4. 3 × 4 = 12 → write 4 above 2.
5. Subtract: 12 – 12 = 0.

✔ Answer: 84 R0

Fill-ins:
- Quotient: 8, 4
- First sub: 24
- Second sub: 12
- Remainder: 0

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🔢 Problem 9: 658 ÷ 7

Steps:

1. 7 into 6 → no. Take 65.
- 7 × 9 = 63 → write 9 above 5.
2. 7 × 9 = 63 → subtract → 2.
3. Bring down 8 → 28.
4. 7 × 4 = 28 → write 4 above 8.
5. Subtract: 28 – 28 = 0.

✔ Answer: 94 R0

Fill-ins:
- Quotient: 9, 4
- First sub: 63
- Second sub: 28
- Remainder: 0

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## ✔ Final Answers Summary:

| Problem | Dividend ÷ Divisor | Quotient | Remainder |
|---------|--------------------|----------|---------|
| 1 | 345 ÷ 5 | 69 | 0 |
| 2 | 672 ÷ 8 | 84 | 0 |
| 3 | 222 ÷ 3 | 74 | 0 |
| 4 | 372 ÷ 4 | 93 | 0 |
| 5 | 322 ÷ 7 | 46 | 0 |
| 6 | 472 ÷ 8 | 59 | 0 |
| 7 | 335 ÷ 5 | 67 | 0 |
| 8 | 252 ÷ 3 | 84 | 0 |
| 9 | 658 ÷ 7 | 94 | 0 |

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## 🧠 Teaching Tip (Why This Format Works):

This worksheet uses scaffolded boxes to break down long division into manageable steps:
- Divide → Multiply → Subtract → Bring Down
- It reduces cognitive load for learners by providing structure.
- Visual layout helps students track place value and avoid skipping steps.
- Since all problems have no remainders, students build confidence before tackling more complex cases.

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✔ You can now fill in all the boxes on the worksheet using these solutions!

Let me know if you’d like a printable answer key or want to turn this into a self-checking activity! 🍩✏️