41718 ÷ 8 = 5214 R6
Alright, let's work through the division of 41718 by 8 step by step.

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 (7) of the dividend behind the 1 and repeat the process: 17 / 8

Step 3:
8 goes into 17 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 52
Subtract 16 from 17 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 8

Step 4:
8 goes into 11 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 521
Subtract 8 from 11 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: 5214
Subtract 32 from 38 to get 6.

The final result is 5214 with a remainder of 6.