84589 ÷ 8 = 10573 R5
We're going to perform division on 84589 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 (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 (8) of the dividend behind the 5 and repeat the process: 58 / 8

Step 4:
8 goes into 58 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 1057
Subtract 56 from 58 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 8

Step 5:
8 goes into 29 3 times with a remainder of 5.
Write down 3 as next digit of of the result. 
Result so far: 10573
Subtract 24 from 29 to get 5.

The final result is 10573 with a remainder of 5.