10312 ÷ 2 = 5156 R0
Alright, let's work through the division of 10312 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 (0) of the dividend behind the 1 and repeat the process: 10 / 2

Step 2:
2 goes into 10 5 times with a remainder of 0.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 10 from 10 to get 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 2

Step 3:
2 goes into 3 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 51
Subtract 2 from 3 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 2

Step 4:
2 goes into 11 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 515
Subtract 10 from 11 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 2

Step 5:
2 goes into 12 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 5156
Subtract 12 from 12 to get 0.

The final result is 5156 with a remainder of 0.