41312 ÷ 5 = 8262 R2
Alright, let's work through the division of 41312 by 5 step by step.

Step 1:
5 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 4 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 5

Step 2:
5 goes into 41 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 8
Subtract 40 from 41 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 5

Step 3:
5 goes into 13 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 82
Subtract 10 from 13 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 5

Step 4:
5 goes into 31 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 826
Subtract 30 from 31 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 5

Step 5:
5 goes into 12 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 8262
Subtract 10 from 12 to get 2.

The final result is 8262 with a remainder of 2.