6311 ÷ 6 = 1051 R5
Let's divide 6311 by 6.

Step 1:
6 goes into 6 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 6 to get 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 6

Step 2:
6 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 3 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 6

Step 3:
6 goes into 31 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 105
Subtract 30 from 31 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 6

Step 4:
6 goes into 11 1 times with a remainder of 5.
Write down 1 as next digit of of the result. 
Result so far: 1051
Subtract 6 from 11 to get 5.

The final result is 1051 with a remainder of 5.