Question

evaluate the problem in standard algorithem - 2142 divided by 9

Answer 1

To divide 2142 by 9 using the standard long division algorithm, follow these steps:

1. **Set up the division**: Write 2142 under the long division bar and 9 outside of it.

```
__________
9 | 2142
```

2. **Divide the first part**: Look at how many times 9 goes into the first digit, which is 2. Since 9 is greater than 2, we can’t use it to divide this digit, so we look at the first two digits (21).

3. **Divide 21 by 9**: 9 goes into 21 a total of 2 times (since \(9 \times 2 = 18\)).
- Write 2 above the division bar.
- Subtract 18 from 21, leaving a remainder of 3.

```
2
_________
9 | 2142
- 18
------
3
```

4. **Bring down the next digit**: Bring down the next digit (which is 4) to make it 34.

```
2
_________
9 | 2142
- 18
------
34
```

5. **Divide 34 by 9**: 9 goes into 34 a total of 3 times (since \(9 \times 3 = 27\)).
- Write 3 above the division bar next to the 2.
- Subtract 27 from 34, leaving a remainder of 7.

```
23
_________
9 | 2142
- 18
------
34
- 27
------
7
```

6. **Bring down the next digit**: Bring down the last digit (which is 2) to make it 72.

```
23
_________
9 | 2142
- 18
------
34
- 27
------
72
```

7. **Divide 72 by 9**: 9 goes into 72 exactly 8 times (since \(9 \times 8 = 72\)).
- Write 8 above the division bar.
- Subtract 72 from 72, leaving a remainder of 0.

```
238
_________
9 | 2142
- 18
------
34
- 27
------
72
- 72
------
0
```

8. **Final Result**: The result is 238 with a remainder of 0.

Thus, **2142 divided by 9 equals 238**.