Division of Decimal Numbers Worksheets - Free Printable

It looks like you've uploaded an image of a completed decimal division worksheet titled *"Decimal Division with 3DP Sheet 2 Answers"*. This sheet contains 9 long division problems, each involving dividing a decimal number by a whole number, and the answers are already provided in red.

Let me go through each problem to verify the solutions and explain how they were solved step-by-step. This will help ensure accuracy and understanding.

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🔢 Problem 1:

7 | 17.423 → Answer: 2.489

#### Step-by-step:
We divide 17.423 ÷ 7.

- 7 goes into 17 → 2 times (2 × 7 = 14), subtract → 3
- Bring down 4 → 34; 7 goes into 34 → 4 times (4 × 7 = 28), subtract → 6
- Bring down 2 → 62; 7 goes into 62 → 8 times (8 × 7 = 56), subtract → 6
- Bring down 3 → 63; 7 goes into 63 → 9 times (9 × 7 = 63), subtract → 0

So:
17.423 ÷ 7 = 2.489 ✔

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🔢 Problem 2:

4 | 26.172 → Answer: 6.543

#### Step-by-step:
Divide 26.172 ÷ 4.

- 4 into 26 → 6 times (6 × 4 = 24), subtract → 2
- Bring down 1 → 21; 4 into 21 → 5 times (5 × 4 = 20), subtract → 1
- Bring down 7 → 17; 4 into 17 → 4 times (4 × 4 = 16), subtract → 1
- Bring down 2 → 12; 4 into 12 → 3 times (3 × 4 = 12), subtract → 0

So:
26.172 ÷ 4 = 6.543 ✔

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🔢 Problem 3:

8 | 37.000 → Answer: 4.625

#### Step-by-step:
Divide 37.000 ÷ 8.

- 8 into 37 → 4 times (4 × 8 = 32), subtract → 5
- Bring down 0 → 50; 8 into 50 → 6 times (6 × 8 = 48), subtract → 2
- Bring down 0 → 20; 8 into 20 → 2 times (2 × 8 = 16), subtract → 4
- Bring down 0 → 40; 8 into 40 → 5 times (5 × 8 = 40), subtract → 0

So:
37.000 ÷ 8 = 4.625 ✔

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🔢 Problem 4:

12 | 7.524 → Answer: 0.627

#### Step-by-step:
Divide 7.524 ÷ 12.

Since 12 > 7, we start with 0. Then:

- Add decimal point and zeros: 7.524 becomes 7.5240
- 12 into 75 → 6 times (6 × 12 = 72), subtract → 3
- Bring down 2 → 32; 12 into 32 → 2 times (2 × 12 = 24), subtract → 8
- Bring down 4 → 84; 12 into 84 → 7 times (7 × 12 = 84), subtract → 0

So:
7.524 ÷ 12 = 0.627 ✔

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🔢 Problem 5:

4 | 37.500 → Answer: 9.375

#### Step-by-step:
Divide 37.500 ÷ 4.

- 4 into 37 → 9 times (9 × 4 = 36), subtract → 1
- Bring down 5 → 15; 4 into 15 → 3 times (3 × 4 = 12), subtract → 3
- Bring down 0 → 30; 4 into 30 → 7 times (7 × 4 = 28), subtract → 2
- Bring down 0 → 20; 4 into 20 → 5 times (5 × 4 = 20), subtract → 0

So:
37.500 ÷ 4 = 9.375 ✔

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🔢 Problem 6:

9 | 9.216 → Answer: 1.024

#### Step-by-step:
Divide 9.216 ÷ 9.

- 9 into 9 → 1 time (1 × 9 = 9), subtract → 0
- Bring down 2 → 2; 9 into 2 → 0 times → write 0 after decimal
- Bring down 1 → 21; 9 into 21 → 2 times (2 × 9 = 18), subtract → 3
- Bring down 6 → 36; 9 into 36 → 4 times (4 × 9 = 36), subtract → 0

So:
9.216 ÷ 9 = 1.024 ✔

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🔢 Problem 7:

11 | 12.606 → Answer: 1.146

#### Step-by-step:
Divide 12.606 ÷ 11.

- 11 into 12 → 1 time (1 × 11 = 11), subtract → 1
- Bring down 6 → 16; 11 into 16 → 1 time (1 × 11 = 11), subtract → 5
- Bring down 0 → 50; 11 into 50 → 4 times (4 × 11 = 44), subtract → 6
- Bring down 6 → 66; 11 into 66 → 6 times (6 × 11 = 66), subtract → 0

So:
12.606 ÷ 11 = 1.146 ✔

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🔢 Problem 8:

8 | 63.000 → Answer: 7.875

#### Step-by-step:
Divide 63.000 ÷ 8.

- 8 into 63 → 7 times (7 × 8 = 56), subtract → 7
- Bring down 0 → 70; 8 into 70 → 8 times (8 × 8 = 64), subtract → 6
- Bring down 0 → 60; 8 into 60 → 7 times (7 × 8 = 56), subtract → 4
- Bring down 0 → 40; 8 into 40 → 5 times (5 × 8 = 40), subtract → 0

So:
63.000 ÷ 8 = 7.875 ✔

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🔢 Problem 9:

21 | 9.513 → Answer: 0.453

#### Step-by-step:
Divide 9.513 ÷ 21.

Since 21 > 9, start with 0.

- Add decimal and zeros: 9.513 → 9.5130
- 21 into 95 → 4 times (4 × 21 = 84), subtract → 11
- Bring down 1 → 111; 21 into 111 → 5 times (5 × 21 = 105), subtract → 6
- Bring down 3 → 63; 21 into 63 → 3 times (3 × 21 = 63), subtract → 0

So:
9.513 ÷ 21 = 0.453 ✔

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✔ Summary:

All answers on the worksheet are correct.

Each problem involves:
1. Setting up long division.
2. Handling decimals carefully (place the decimal point in the quotient directly above the dividend).
3. Adding zeros if needed to continue dividing.
4. Dividing until the remainder is zero or until three decimal places are reached (as implied by "3DP").

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📌 Key Tips for Decimal Division:

- Always align the decimal point in the quotient with the dividend.
- If the divisor is larger than the first digit(s), start with zero before the decimal.
- Use zeros to extend the dividend when necessary.
- Check your answer by multiplying:
For example, check #1: 7 × 2.489 = 17.423 ✔️

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