Question

write 7/8 long division

Answer 1

To perform long division for \( \frac{7}{8} \), we can represent this as dividing 7 by 8. Here’s how you do it step-by-step:

1. **Set up the long division:** Write 7 inside the long division bar and 8 outside of it.

```
_____
8 | 7.000
```

2. **Divide:** Determine how many times 8 fits into 7. Since 8 is greater than 7, it goes 0 times.

```
0
_____
8 | 7.000
```

3. **Add a decimal point and a zero:** Since 8 does not fit into 7, we add a decimal point and a zero (making it 70) and bring it down.

```
0.
_____
8 | 7.000
0
```

4. **Now, divide 70 by 8:** \( 8 \times 8 = 64 \), which is the largest multiple of 8 less than 70.

```
0.8
_____
8 | 7.000
64
-----
6
```

5. **Subtract:** Subtract 64 from 70, which leaves a remainder of 6.

6. **Bring down another 0:** Bring down another 0, making it 60.

```
0.8
_____
8 | 7.000
64
-----
60
```

7. **Divide 60 by 8:** \( 8 \times 7 = 56 \).

```
0.87
_____
8 | 7.000
64
-----
60
-56
-----
4
```

8. **Subtract:** Now, subtract 56 from 60 to get a remainder of 4.

9. **Bring down another 0:** Make it 40.

```
0.875
_____
8 | 7.000
64
-----
60
-56
-----
40
```

10. **Divide 40 by 8:** \( 8 \times 5 = 40 \).

```
0.875
_____
8 | 7.000
64
-----
60
-56
-----
40
-40
-----
0
```

11. **Subtract:** This gives a remainder of 0.

Thus, the result of \( \frac{7}{8} \) is \( 0.875 \).