14717 ÷ 9 = 1635 R2
Alright, let's work through the division of 14717 by 9 step by step.

Step 1:
9 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 / 9

Step 2:
9 goes into 14 1 times with a remainder of 5.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 9 from 14 to get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 9

Step 3:
9 goes into 57 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 16
Subtract 54 from 57 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 9

Step 4:
9 goes into 31 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 163
Subtract 27 from 31 to get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 9

Step 5:
9 goes into 47 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 1635
Subtract 45 from 47 to get 2.

The final result is 1635 with a remainder of 2.