Fill in the blanks :
`23/55 = ........`

Answer

To solve the problem \( \frac{23}{55} \) and fill in the blank, we will perform the division step by step.

### Step-by-Step Solution:

1. **Set up the division**: We want to divide 23 by 55. Since 23 is less than 55, we will write it as \( 0. \) and add a decimal point, making it \( 23.000 \) for easier division.

2. **Divide 23.000 by 55**:
- 55 goes into 230 (the first three digits of 23.000) 4 times because \( 4 \times 55 = 220 \).
- Write down 4 in the quotient. The remainder is \( 230 - 220 = 10 \).

3. **Bring down the next 0**: Now we have 100 (from the remainder 10 and the next 0).
- 55 goes into 100 1 time because \( 1 \times 55 = 55 \).
- Write down 1 in the quotient. The remainder is \( 100 - 55 = 45 \).

4. **Bring down another 0**: Now we have 450.
- 55 goes into 450 8 times because \( 8 \times 55 = 440 \).
- Write down 8 in the quotient. The remainder is \( 450 - 440 = 10 \).

5. **Notice the pattern**: We are back to a remainder of 10, which means the next step will repeat the process we just did.
- Therefore, the digits 18 will keep repeating.

6. **Final result**: We can conclude that \( \frac{23}{55} = 0.418181818... \) or \( 0.4\overline{18} \) where \( 18 \) is the repeating part.

### Final Answer:
Thus, \( \frac{23}{55} = 0.418181818... \)