84535 ÷ 8 = 10566 R7
Alright, let's work through the division of 84535 by 8 step by step.

Step 1:
8 goes into 8 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 8 from 8 to get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 8

Step 2:
8 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 4 to get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 8

Step 3:
8 goes into 45 5 times with a remainder of 5.
Write down 5 as next digit of of the result. 
Result so far: 105
Subtract 40 from 45 to get 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 8

Step 4:
8 goes into 53 6 times with a remainder of 5.
Write down 6 as next digit of of the result. 
Result so far: 1056
Subtract 48 from 53 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: 10566
Subtract 48 from 55 to get 7.

The final result is 10566 with a remainder of 7.