Question

Divide 975 divided by 25 using long division

Answer 1

To divide 975 by 25 using long division, follow these steps:

1. **Set up the long division**: Write 975 under the long division bracket and 25 outside.

```
______
25 | 975
```

2. **Determine how many times 25 fits into the first part of 975**:
- 25 goes into 97 (the first two digits of 975) 3 times because \( 25 \times 3 = 75 \).

3. **Write 3 above the division bar** and multiply:
```
3
______
25 | 975
- 75
----
```

4. **Subtract 75 from 97**:
- \( 97 - 75 = 22 \)

```
3
______
25 | 975
- 75
----
22
```

5. **Bring down the next digit (5)**, making the number 225:
```
3
______
25 | 975
- 75
----
225
```

6. **Determine how many times 25 fits into 225**:
- 25 goes into 225 exactly 9 times because \( 25 \times 9 = 225 \).

7. **Write 9 above the division bar** and multiply:
```
39
______
25 | 975
- 75
----
225
- 225
-----
0
```

8. **Subtract 225 from 225**:
- \( 225 - 225 = 0 \)

Since there are no more digits to bring down and the remainder is 0, we conclude that:

**975 divided by 25 equals 39.**