7559 ÷ 8 = 944 R7
No problem, we've got 7559 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 (5) of the dividend behind the 7 and repeat the process: 75 / 8

Step 2:
8 goes into 75 9 times with a remainder of 3.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 72 from 75 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 8

Step 3:
8 goes into 35 4 times with a remainder of 3.
Write down 4 as next digit of of the result. 
Result so far: 94
Subtract 32 from 35 to get 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 8

Step 4:
8 goes into 39 4 times with a remainder of 7.
Write down 4 as next digit of of the result. 
Result so far: 944
Subtract 32 from 39 to get 7.

The final result is 944 with a remainder of 7.