53060 ÷ 8 = 6632 R4
Alright, let's work through the division of 53060 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 (0) of the dividend behind the 5 and repeat the process: 50 / 8

Step 3:
8 goes into 50 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 66
Subtract 48 from 50 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 8

Step 4:
8 goes into 26 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 663
Subtract 24 from 26 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 8

Step 5:
8 goes into 20 2 times with a remainder of 4.
Write down 2 as next digit of of the result. 
Result so far: 6632
Subtract 16 from 20 to get 4.

The final result is 6632 with a remainder of 4.