6135 ÷ 5 = 1227 R0
We're going to perform division on 6135 with 5 as the divisor.

Step 1:
5 goes into 6 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 5 from 6 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 5

Step 2:
5 goes into 11 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 10 from 11 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 5

Step 3:
5 goes into 13 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 122
Subtract 10 from 13 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 5

Step 4:
5 goes into 35 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 1227
Subtract 35 from 35 to get 0.

The final result is 1227 with a remainder of 0.