By actual division, express of the following as a terminating decimal:
`7/8`

Answer

To express \( \frac{7}{8} \) as a terminating decimal using actual division, follow these steps:

### Step 1: Set Up the Division
We need to divide 7 by 8. Since 7 is smaller than 8, we will write it as 7.0 (adding a decimal point and a zero).

### Step 2: Perform the Division
1. **Divide 70 by 8**:
- 8 goes into 70 a total of 8 times (since \( 8 \times 8 = 64 \)).
- Write 8 in the quotient.
- Subtract \( 64 \) from \( 70 \):
\[ 70 - 64 = 6 \]

### Step 3: Bring Down the Next Digit
2. **Bring down another 0**:
- Now we have 60.

### Step 4: Continue the Division
3. **Divide 60 by 8**:
- 8 goes into 60 a total of 7 times (since \( 8 \times 7 = 56 \)).
- Write 7 in the quotient next to 8.
- Subtract \( 56 \) from \( 60 \):
\[ 60 - 56 = 4 \]

### Step 5: Bring Down Another Digit
4. **Bring down another 0**:
- Now we have 40.

### Step 6: Final Division
5. **Divide 40 by 8**:
- 8 goes into 40 a total of 5 times (since \( 8 \times 5 = 40 \)).
- Write 5 in the quotient next to 87.
- Subtract \( 40 \) from \( 40 \):
\[ 40 - 40 = 0 \]

### Conclusion
Since the remainder is now 0, we can conclude that the division is complete. Therefore,
\[ \frac{7}{8} = 0.875 \]
This is a terminating decimal.

---