53251 ÷ 8 = 6656 R3
Alright, let's work through the division of 53251 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 (2) of the dividend behind the 5 and repeat the process: 52 / 8

Step 3:
8 goes into 52 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 66
Subtract 48 from 52 to get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 8

Step 4:
8 goes into 45 5 times with a remainder of 5.
Write down 5 as next digit of of the result. 
Result so far: 665
Subtract 40 from 45 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 8

Step 5:
8 goes into 51 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 6656
Subtract 48 from 51 to get 3.

The final result is 6656 with a remainder of 3.