86114 ÷ 9 = 9568 R2
Alright, let's work through the division of 86114 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 (1) of the dividend behind the 5 and repeat the process: 51 / 9

Step 3:
9 goes into 51 5 times with a remainder of 6.
Write down 5 as next digit of of the result. 
Result so far: 95
Subtract 45 from 51 to get 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 9

Step 4:
9 goes into 61 6 times with a remainder of 7.
Write down 6 as next digit of of the result. 
Result so far: 956
Subtract 54 from 61 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: 9568
Subtract 72 from 74 to get 2.

The final result is 9568 with a remainder of 2.