82679 ÷ 9 = 9186 R5
Alright, let's work through the division of 82679 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 (2) of the dividend behind the 8 and repeat the process: 82 / 9

Step 2:
9 goes into 82 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 81 from 82 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: 91
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: 918
Subtract 72 from 77 to get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 9

Step 5:
9 goes into 59 6 times with a remainder of 5.
Write down 6 as next digit of of the result. 
Result so far: 9186
Subtract 54 from 59 to get 5.

The final result is 9186 with a remainder of 5.