14309 ÷ 2 = 7154 R1
Alright, let's work through the division of 14309 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 (4) of the dividend behind the 1 and repeat the process: 14 / 2

Step 2:
2 goes into 14 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 14 from 14 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: 71
Subtract 2 from 3 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 2

Step 4:
2 goes into 10 5 times with a remainder of 0.
Write down 5 as next digit of of the result. 
Result so far: 715
Subtract 10 from 10 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 2

Step 5:
2 goes into 9 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 7154
Subtract 8 from 9 to get 1.

The final result is 7154 with a remainder of 1.