Question

902 divided by 11 show your WORK:)

Answer 1

To divide 902 by 11, we can use long division. Here are the steps:

1. **Set up the division**: Write 902 under the long division symbol and 11 outside.

```
____
11 | 902
```

2. **Divide the first digit**: See how many times 11 fits into the first digit (which is 9). It fits 0 times, since 11 is greater than 9.

3. **Consider the first two digits**: Now, consider the first two digits (90). Determine how many times 11 fits into 90.
- 11 fits into 90 about 8 times, since \( 11 \times 8 = 88 \).

4. **Subtract**: Write 8 above the division bar, and multiply 8 by 11 (which equals 88). Subtract 88 from 90:

```
8
____
11 | 902
- 88
__
2
```

5. **Bring down the next digit**: Now, bring down the next digit (which is 2 from 902), making the number now 22.

6. **Divide again**: Determine how many times 11 fits into 22. It fits exactly 2 times, since \( 11 \times 2 = 22 \).

7. **Subtract again**: Write 2 above the division bar next to the 8 (making it 82), then multiply 2 by 11 (which is 22) and subtract:

```
82
____
11 | 902
- 88
__
22
- 22
__
0
```

8. **Complete the division**: Now, there are no more digits to bring down, and the remainder is 0.

So, \( 902 \div 11 = 82 \).

Final answer: **82**.