86825 ÷ 9 = 9647 R2
Alright, let's work through the division of 86825 by 9 step by step.

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 (8) of the dividend behind the 5 and repeat the process: 58 / 9

Step 3:
9 goes into 58 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 96
Subtract 54 from 58 to get 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 9

Step 4:
9 goes into 42 4 times with a remainder of 6.
Write down 4 as next digit of of the result. 
Result so far: 964
Subtract 36 from 42 to get 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 9

Step 5:
9 goes into 65 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 9647
Subtract 63 from 65 to get 2.

The final result is 9647 with a remainder of 2.