By actural division , express each of the following as a repeating decimal :
`2000/33`

Answer

To express \( \frac{2000}{33} \) as a repeating decimal using actual division, we can follow these steps:

### Step 1: Set up the division
We need to divide 2000 by 33. We write it as \( 2000 \div 33 \).

### Step 2: Perform the division
1. **First Division**:
- 33 goes into 2000.
- 33 goes into 200 (the first three digits of 2000) 6 times because \( 33 \times 6 = 198 \).
- Write down 6 above the line (the quotient) and subtract \( 198 \) from \( 200 \):
\[ 200 - 198 = 2 \]

2. **Bring down the next digit**:
- Bring down the next digit (0) from 2000, making it 20.

3. **Second Division**:
- 33 goes into 20, which is 0 times.
- Write down 0 in the quotient after the decimal point.
- Now, bring down another 0, making it 200.

4. **Third Division**:
- Now, 33 goes into 200 again, which is 6 times (as calculated before).
- Write down another 6 in the quotient.
- Subtract \( 198 \) from \( 200 \):
\[ 200 - 198 = 2 \]

5. **Repeat the process**:
- Bring down another 0, making it 20 again.
- 33 goes into 20, which is 0 times, and then bring down another 0 to make it 200.
- This will continue to repeat the cycle of getting 6 and then 0.

### Conclusion
The quotient we have is:
\[ 60.606060... \]
Thus, we can express \( \frac{2000}{33} \) as a repeating decimal:
\[ 60.\overline{60} \]