Fill in the blanks :
`13/11 = ........`

Answer

To solve the problem \( \frac{13}{11} \) and fill in the blank, we will perform the division step by step.

### Step-by-Step Solution:

1. **Set up the division**: We need to divide 13 by 11.
\[ 13 \div 11 \]

2. **Determine how many times 11 fits into 13**:
- 11 fits into 13 one time (1).
\[ 1 \times 11 = 11 \]
- Subtract 11 from 13.
\[ 13 - 11 = 2 \]

3. **Add a decimal point and a zero**: Since 2 is less than 11, we add a decimal point to our quotient and bring down a zero, making it 20.
\[ 2.0 \]

4. **Divide 20 by 11**:
- 11 fits into 20 one time (1).
\[ 1 \times 11 = 11 \]
- Subtract 11 from 20.
\[ 20 - 11 = 9 \]

5. **Bring down another zero**: Now we have 90.
\[ 9.0 \]

6. **Divide 90 by 11**:
- 11 fits into 90 eight times (8).
\[ 8 \times 11 = 88 \]
- Subtract 88 from 90.
\[ 90 - 88 = 2 \]

7. **Repeat the process**: We notice that we are back to 20 (since we will again bring down a zero). This indicates that the decimal will repeat.
- So, the next steps will yield the same results as before.

8. **Write the final answer**: Thus, we can conclude that:
\[ \frac{13}{11} = 1.181818... \text{ (which can be written as } 1.\overline{18}\text{)} \]

### Final Answer:
\[ \frac{13}{11} = 1.18 \text{ (repeating)} \]