Division of Decimals Worksheets - Find the quotient up to 3 decimal places.

Let's solve each of these decimal division problems and find the quotient up to 3 decimal places.

We'll go step by step for each problem, using long division or calculator-based precision (but showing logic).

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1. $ 0.03 \div 6 $

We can write this as:
$$
\frac{0.03}{6} = 0.005
$$

Explanation:
$ 0.03 \div 6 = 3 \div 600 = 0.005 $

✔ Answer: 0.005

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2. $ 6.831 \div 9 $

Divide 6.831 by 9:

- $ 9 \times 0.7 = 6.3 $
- Subtract: $ 6.831 - 6.3 = 0.531 $
- Bring down next digit (already there), divide $ 0.531 \div 9 = 0.059 $
- So far: $ 0.7 + 0.059 = 0.759 $

Now check: $ 9 \times 0.759 = 6.831 $

✔ Answer: 0.759

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3. $ 2.604 \div 7 $

Divide 2.604 by 7:

- $ 7 \times 0.3 = 2.1 $ → subtract: $ 2.604 - 2.1 = 0.504 $
- $ 0.504 \div 7 = 0.072 $
- So total: $ 0.3 + 0.072 = 0.372 $

Check: $ 7 \times 0.372 = 2.604 $

✔ Answer: 0.372

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4. $ 9.36 \div 4 $

Divide 9.36 by 4:

- $ 4 \times 2 = 8 $ → remainder 1.36
- $ 1.36 \div 4 = 0.34 $
- So: $ 2 + 0.34 = 2.34 $

But we need three decimal places, so let’s go further:

- $ 9.360 \div 4 $
- $ 4 \times 2.340 = 9.360 $

✔ Answer: 2.340

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5. $ 892.9 \div 4 $

Divide 892.9 by 4:

- $ 4 \times 223 = 892 $
- Remainder: $ 892.9 - 892 = 0.9 $
- $ 0.9 \div 4 = 0.225 $
- So: $ 223 + 0.225 = 223.225 $

✔ Answer: 223.225

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6. $ 4.256 \div 7 $

Divide 4.256 by 7:

- $ 7 \times 0.6 = 4.2 $
- Subtract: $ 4.256 - 4.2 = 0.056 $
- $ 0.056 \div 7 = 0.008 $
- So: $ 0.6 + 0.008 = 0.608 $

✔ Answer: 0.608

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7. $ 0.036 \div 3 $

Divide 0.036 by 3:

- $ 3 \times 0.012 = 0.036 $

✔ Answer: 0.012

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8. $ 0.81 \div 3 $

Divide 0.81 by 3:

- $ 3 \times 0.27 = 0.81 $

So quotient is 0.27

To three decimal places: $ 0.270 $

✔ Answer: 0.270

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9. $ 50.421 \div 7 $

Divide 50.421 by 7:

- $ 7 \times 7 = 49 $ → remainder $ 1.421 $
- $ 1.421 \div 7 = 0.203 $
- So: $ 7 + 0.203 = 7.203 $

Check: $ 7 \times 7.203 = 50.421 $

✔ Answer: 7.203

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✔ Final Answers (up to 3 decimal places):

| Problem | Quotient |
|--------|----------|
| 1. | 0.005 |
| 2. | 0.759 |
| 3. | 0.372 |
| 4. | 2.340 |
| 5. | 223.225 |
| 6. | 0.608 |
| 7. | 0.012 |
| 8. | 0.270 |
| 9. | 7.203 |

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Let me know if you'd like a visual explanation of any of the long divisions!