To solve the division of 3,385 by 31 using traditional long division, we'll go step by step.
- Setup the long division: Write 3,385 under the long division bar and 31 outside.
______________
31 | 3385
-
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
-
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
-
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
- 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 รท 31 = 109 R6.