79344 ÷ 9 = 8816 R0
Alright, let's work through the division of 79344 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 (3) of the dividend behind the 7 and repeat the process: 73 / 9

Step 3:
9 goes into 73 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 88
Subtract 72 from 73 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 9

Step 4:
9 goes into 14 1 times with a remainder of 5.
Write down 1 as next digit of of the result. 
Result so far: 881
Subtract 9 from 14 to get 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 9

Step 5:
9 goes into 54 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 8816
Subtract 54 from 54 to get 0.

The final result is 8816 with a remainder of 0.