6555 ÷ 7 = 936 R3
We're going to perform division on 6555 with 7 as the divisor.

Step 1:
7 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 6 to get 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 7

Step 2:
7 goes into 65 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 63 from 65 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 7

Step 3:
7 goes into 25 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 93
Subtract 21 from 25 to get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 7

Step 4:
7 goes into 45 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 936
Subtract 42 from 45 to get 3.

The final result is 936 with a remainder of 3.