13112 ÷ 6 = 2185 R2
Alright, let's work through the division of 13112 by 6 step by step.

Step 1:
6 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 6

Step 2:
6 goes into 13 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 12 from 13 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 6

Step 3:
6 goes into 11 1 times with a remainder of 5.
Write down 1 as next digit of of the result. 
Result so far: 21
Subtract 6 from 11 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 6

Step 4:
6 goes into 51 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 218
Subtract 48 from 51 to get 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 6

Step 5:
6 goes into 32 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 2185
Subtract 30 from 32 to get 2.

The final result is 2185 with a remainder of 2.