79872 ÷ 9 = 8874 R6
Alright, let's work through the division of 79872 by 9 step by step.

Step 1:
9 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 7 to get 7.
Bring next digit (9) of the dividend behind the 7 and repeat the process: 79 / 9

Step 2:
9 goes into 79 8 times with a remainder of 7.
Write down 8 as next digit of of the result. 
Result so far: 8
Subtract 72 from 79 to get 7.
Bring next digit (8) of the dividend behind the 7 and repeat the process: 78 / 9

Step 3:
9 goes into 78 8 times with a remainder of 6.
Write down 8 as next digit of of the result. 
Result so far: 88
Subtract 72 from 78 to get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 9

Step 4:
9 goes into 67 7 times with a remainder of 4.
Write down 7 as next digit of of the result. 
Result so far: 887
Subtract 63 from 67 to get 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 9

Step 5:
9 goes into 42 4 times with a remainder of 6.
Write down 4 as next digit of of the result. 
Result so far: 8874
Subtract 36 from 42 to get 6.

The final result is 8874 with a remainder of 6.