53175 ÷ 8 = 6646 R7
Alright, let's work through the division of 53175 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 (7) of the dividend behind the 3 and repeat the process: 37 / 8

Step 4:
8 goes into 37 4 times with a remainder of 5.
Write down 4 as next digit of of the result. 
Result so far: 664
Subtract 32 from 37 to get 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 8

Step 5:
8 goes into 55 6 times with a remainder of 7.
Write down 6 as next digit of of the result. 
Result so far: 6646
Subtract 48 from 55 to get 7.

The final result is 6646 with a remainder of 7.