91678 ÷ 9 = 10186 R4
Alright, let's work through the division of 91678 by 9 step by step.

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

Step 2:
9 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 1 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 9

Step 3:
9 goes into 16 1 times with a remainder of 7.
Write down 1 as next digit of of the result. 
Result so far: 101
Subtract 9 from 16 to get 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 9

Step 4:
9 goes into 77 8 times with a remainder of 5.
Write down 8 as next digit of of the result. 
Result so far: 1018
Subtract 72 from 77 to get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 9

Step 5:
9 goes into 58 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 10186
Subtract 54 from 58 to get 4.

The final result is 10186 with a remainder of 4.