7759 ÷ 8 = 969 R7
No problem, we've got 7759 and 8 for the division.

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 (7) of the dividend behind the 7 and repeat the process: 77 / 8

Step 2:
8 goes into 77 9 times with a remainder of 5.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 72 from 77 to get 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 8

Step 3:
8 goes into 55 6 times with a remainder of 7.
Write down 6 as next digit of of the result. 
Result so far: 96
Subtract 48 from 55 to get 7.
Bring next digit (9) of the dividend behind the 7 and repeat the process: 79 / 8

Step 4:
8 goes into 79 9 times with a remainder of 7.
Write down 9 as next digit of of the result. 
Result so far: 969
Subtract 72 from 79 to get 7.

The final result is 969 with a remainder of 7.