31097 ÷ 3 = 10365 R2
No problem, we've got 31097 and 3 for the division.

Step 1:
3 goes into 3 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 3 from 3 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 3

Step 2:
3 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 1 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 3

Step 3:
3 goes into 10 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 103
Subtract 9 from 10 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 3

Step 4:
3 goes into 19 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 1036
Subtract 18 from 19 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 3

Step 5:
3 goes into 17 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 10365
Subtract 15 from 17 to get 2.

The final result is 10365 with a remainder of 2.