31413 ÷ 2 = 15706 R1
Alright, let's work through the division of 31413 by 2 step by step.

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 (4) of the dividend behind the 1 and repeat the process: 14 / 2

Step 3:
2 goes into 14 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 157
Subtract 14 from 14 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 2

Step 4:
2 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 1570
Subtract 0 from 1 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 2

Step 5:
2 goes into 13 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 15706
Subtract 12 from 13 to get 1.

The final result is 15706 with a remainder of 1.