41638 ÷ 8 = 5204 R6
We're going to perform division on 41638 with 8 as the divisor.

Step 1:
8 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 / 8

Step 2:
8 goes into 41 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 40 from 41 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 8

Step 3:
8 goes into 16 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 52
Subtract 16 from 16 to get 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 8

Step 4:
8 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 520
Subtract 0 from 3 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 8

Step 5:
8 goes into 38 4 times with a remainder of 6.
Write down 4 as next digit of of the result. 
Result so far: 5204
Subtract 32 from 38 to get 6.

The final result is 5204 with a remainder of 6.