79342 ÷ 8 = 9917 R6
Alright, let's work through the division of 79342 by 8 step by step.

Step 1:
8 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 / 8

Step 2:
8 goes into 79 9 times with a remainder of 7.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 72 from 79 to get 7.
Bring next digit (3) of the dividend behind the 7 and repeat the process: 73 / 8

Step 3:
8 goes into 73 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 99
Subtract 72 from 73 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 8

Step 4:
8 goes into 14 1 times with a remainder of 6.
Write down 1 as next digit of of the result. 
Result so far: 991
Subtract 8 from 14 to get 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 8

Step 5:
8 goes into 62 7 times with a remainder of 6.
Write down 7 as next digit of of the result. 
Result so far: 9917
Subtract 56 from 62 to get 6.

The final result is 9917 with a remainder of 6.