To convert 6/32 to a decimal using long division, follow these steps:
1. Set up the long division problem with 6 as the numerator and 32 as the denominator:
```
0. 1875
32 | 6.0000
```
2. Divide 6 by 32 to get the quotient and remainder:
```
0. 1875
32 | 6.0000
- 0
---
6
```
3. Bring down a zero after the decimal point and divide 60 by 32:
```
0. 1875
32 | 6.0000
- 0
---
6
- 0
---
60
64
- 64
----
-4
```
4. Bring down another zero and continue dividing -40 by 32:
```
0. 1875
32 | 6.0000
- 0
---
6
- 0
---
60
64
- 64
----
-4
-0
---
-40
-32
---
-8
```
5. Bring down a zero and divide -80 by 32:
```
0. 1875
32 | 6.0000
- 0
---
6
- 0
---
60
64
- 64
----
-4
-0
---
-40
-32
---
-8
-0
---
-80
-64
----
-16
```
6. Repeat the process by bringing down another zero and dividing -160 by 32:
```
0. 1875
32 | 6.0000
- 0
---
6
- 0
---
60
64
- 64
----
-4
-0
---
-40
-32
---
-8
-0
---
-80
-64
----
-16
-0
---
-160
-160
-----
0
```
7. Since the remainder is now 0, we can stop the division process.
Therefore, 6/32 as a decimal is 0.1875.