78759 ÷ 8 = 9844 R7
Alright, let's work through the division of 78759 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 (8) of the dividend behind the 7 and repeat the process: 78 / 8

Step 2:
8 goes into 78 9 times with a remainder of 6.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 72 from 78 to get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 8

Step 3:
8 goes into 67 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 98
Subtract 64 from 67 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 8

Step 4:
8 goes into 35 4 times with a remainder of 3.
Write down 4 as next digit of of the result. 
Result so far: 984
Subtract 32 from 35 to get 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 8

Step 5:
8 goes into 39 4 times with a remainder of 7.
Write down 4 as next digit of of the result. 
Result so far: 9844
Subtract 32 from 39 to get 7.

The final result is 9844 with a remainder of 7.