Question

Solve using traditional division: 3,385
31.

1009

109

108 R 37

109 R6

Answer 1

To solve the division of 3,385 by 31 using traditional long division, we'll go step by step.

1. **Setup the long division**: Write 3,385 under the long division bar and 31 outside.

```
______________
31 | 3385
```

2. **Determine how many times 31 goes into the first part of 3,385** (starting from the left).

- 31 goes into 33 (the first two digits of 3385) **1 time** because 31 x 1 = 31.
- Write 1 above the line and subtract 31 from 33.

```
1
______________
31 | 3385
-31
-----
2
```

3. **Bring down the next digit** (the next digit is 8, making it 28).

- 31 goes into 28 **0 times**. Write 0 next to the 1.

```
10
______________
31 | 3385
-31
-----
28
```

4. **Bring down the next digit** (the next digit is 5, making it 285).

- 31 goes into 285 **9 times** because 31 x 9 = 279.
- Write 9 above the line and subtract 279 from 285.

```
109
______________
31 | 3385
-31
-----
28
- 279
-----
6
```

5. **Final Calculation**: After subtracting 279 from 285, we get 6.

So, the result of 3,385 divided by 31 is **109 with a remainder of 6**.

Thus, we finaly write:

3,385 ÷ 31 = 109 R6.