53168 ÷ 8 = 6646 R0
Alright, let's work through the division of 53168 by 8 step by step.

Step 1:
8 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 5 to get 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 8

Step 2:
8 goes into 53 6 times with a remainder of 5.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 48 from 53 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 8

Step 3:
8 goes into 51 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 66
Subtract 48 from 51 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 8

Step 4:
8 goes into 36 4 times with a remainder of 4.
Write down 4 as next digit of of the result. 
Result so far: 664
Subtract 32 from 36 to get 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 8

Step 5:
8 goes into 48 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 6646
Subtract 48 from 48 to get 0.

The final result is 6646 with a remainder of 0.