By actural division , express each of the following as a repeating decimal :
`103/9`

Answer

To express \( \frac{103}{9} \) as a repeating decimal using actual division, follow these steps:

### Step-by-Step Solution:

1. **Set Up the Division**: We start by dividing 103 by 9. We write it as \( 103 \div 9 \).

2. **Divide the Whole Number**:
- 9 goes into 10 once (1).
- \( 9 \times 1 = 9 \).
- Subtract: \( 10 - 9 = 1 \).
- Bring down the next digit (3), making it 13.

3. **Continue Dividing**:
- 9 goes into 13 once (1).
- \( 9 \times 1 = 9 \).
- Subtract: \( 13 - 9 = 4 \).
- Bring down a 0 (since we are looking for decimal places), making it 40.

4. **Repeat the Division**:
- 9 goes into 40 four times (4).
- \( 9 \times 4 = 36 \).
- Subtract: \( 40 - 36 = 4 \).
- Bring down another 0, making it 40 again.

5. **Notice the Pattern**:
- We see that we are back to dividing 40 by 9, which gives us 4 again.
- This means the decimal will repeat.

6. **Write the Result**:
- From our division, we have \( 11 \) (from the whole number part) and \( 4 \) (the repeating decimal part).
- Therefore, \( \frac{103}{9} = 11.4444...\) which can be expressed as \( 11.4\overline{4} \).

### Final Answer:
Thus, \( \frac{103}{9} \) expressed as a repeating decimal is \( 11.4\overline{4} \).

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