86889 ÷ 8 = 10861 R1
Let's divide 86889 by 8.

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 (8) of the dividend behind the 6 and repeat the process: 68 / 8

Step 3:
8 goes into 68 8 times with a remainder of 4.
Write down 8 as next digit of of the result. 
Result so far: 108
Subtract 64 from 68 to get 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 8

Step 4:
8 goes into 48 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 1086
Subtract 48 from 48 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 8

Step 5:
8 goes into 9 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 10861
Subtract 8 from 9 to get 1.

The final result is 10861 with a remainder of 1.