13 ÷ 2 = 6 R1
Alright, let's work through the division of 13 by 2 step by step.

Step 1:
2 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 2

Step 2:
2 goes into 13 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 12 from 13 to get 1.

The final result is 6 with a remainder of 1.