53502 ÷ 8 = 6687 R6
Alright, let's work through the division of 53502 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 (5) of the dividend behind the 5 and repeat the process: 55 / 8

Step 3:
8 goes into 55 6 times with a remainder of 7.
Write down 6 as next digit of of the result. 
Result so far: 66
Subtract 48 from 55 to get 7.
Bring next digit (0) of the dividend behind the 7 and repeat the process: 70 / 8

Step 4:
8 goes into 70 8 times with a remainder of 6.
Write down 8 as next digit of of the result. 
Result so far: 668
Subtract 64 from 70 to get 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 8

Step 5:
8 goes into 62 7 times with a remainder of 6.
Write down 7 as next digit of of the result. 
Result so far: 6687
Subtract 56 from 62 to get 6.

The final result is 6687 with a remainder of 6.