86564 ÷ 9 = 9618 R2
Let's divide 86564 by 9.

Step 1:
9 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 8 to get 8.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 9

Step 2:
9 goes into 86 9 times with a remainder of 5.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 81 from 86 to get 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 9

Step 3:
9 goes into 55 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 96
Subtract 54 from 55 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 9

Step 4:
9 goes into 16 1 times with a remainder of 7.
Write down 1 as next digit of of the result. 
Result so far: 961
Subtract 9 from 16 to get 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 9

Step 5:
9 goes into 74 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 9618
Subtract 72 from 74 to get 2.

The final result is 9618 with a remainder of 2.