9555 ÷ 8 = 1194 R3
Alright, let's work through the division of 9555 by 8 step by step.

Step 1:
8 goes into 9 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 8 from 9 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 8

Step 2:
8 goes into 15 1 times with a remainder of 7.
Write down 1 as next digit of of the result. 
Result so far: 11
Subtract 8 from 15 to get 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 8

Step 3:
8 goes into 75 9 times with a remainder of 3.
Write down 9 as next digit of of the result. 
Result so far: 119
Subtract 72 from 75 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: 1194
Subtract 32 from 35 to get 3.

The final result is 1194 with a remainder of 3.