86501 ÷ 8 = 10812 R5
We're going to perform division on 86501 with 8 as the divisor.

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 (6) of the dividend behind the 0 and repeat the process: 6 / 8

Step 2:
8 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 6 to get 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 8

Step 3:
8 goes into 65 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 108
Subtract 64 from 65 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 8

Step 4:
8 goes into 10 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1081
Subtract 8 from 10 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 8

Step 5:
8 goes into 21 2 times with a remainder of 5.
Write down 2 as next digit of of the result. 
Result so far: 10812
Subtract 16 from 21 to get 5.

The final result is 10812 with a remainder of 5.