66356 ÷ 8 = 8294 R4
Alright, let's work through the division of 66356 by 8 step by step.

Step 1:
8 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 6 to get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 8

Step 2:
8 goes into 66 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 8
Subtract 64 from 66 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 8

Step 3:
8 goes into 23 2 times with a remainder of 7.
Write down 2 as next digit of of the result. 
Result so far: 82
Subtract 16 from 23 to get 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 8

Step 4:
8 goes into 75 9 times with a remainder of 3.
Write down 9 as next digit of of the result. 
Result so far: 829
Subtract 72 from 75 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 8

Step 5:
8 goes into 36 4 times with a remainder of 4.
Write down 4 as next digit of of the result. 
Result so far: 8294
Subtract 32 from 36 to get 4.

The final result is 8294 with a remainder of 4.