311 ÷ 2 = 155 R1
No problem, we've got 311 and 2 for the division.

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

Step 2:
2 goes into 11 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 15
Subtract 10 from 11 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 2

Step 3:
2 goes into 11 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 155
Subtract 10 from 11 to get 1.

The final result is 155 with a remainder of 1.