56529 ÷ 8 = 7066 R1
Alright, let's work through the division of 56529 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 (6) of the dividend behind the 5 and repeat the process: 56 / 8

Step 2:
8 goes into 56 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 56 from 56 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 8

Step 3:
8 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 70
Subtract 0 from 5 to get 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 8

Step 4:
8 goes into 52 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 706
Subtract 48 from 52 to get 4.
Bring next digit (9) of the dividend behind the 4 and repeat the process: 49 / 8

Step 5:
8 goes into 49 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 7066
Subtract 48 from 49 to get 1.

The final result is 7066 with a remainder of 1.