14314 ÷ 7 = 2044 R6
Alright, let's work through the division of 14314 by 7 step by step.

Step 1:
7 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 / 7

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

Step 3:
7 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 20
Subtract 0 from 3 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 7

Step 4:
7 goes into 31 4 times with a remainder of 3.
Write down 4 as next digit of of the result. 
Result so far: 204
Subtract 28 from 31 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 7

Step 5:
7 goes into 34 4 times with a remainder of 6.
Write down 4 as next digit of of the result. 
Result so far: 2044
Subtract 28 from 34 to get 6.

The final result is 2044 with a remainder of 6.