14665 ÷ 9 = 1629 R4
Alright, let's work through the division of 14665 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 (6) of the dividend behind the 5 and repeat the process: 56 / 9

Step 3:
9 goes into 56 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 16
Subtract 54 from 56 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 9

Step 4:
9 goes into 26 2 times with a remainder of 8.
Write down 2 as next digit of of the result. 
Result so far: 162
Subtract 18 from 26 to get 8.
Bring next digit (5) of the dividend behind the 8 and repeat the process: 85 / 9

Step 5:
9 goes into 85 9 times with a remainder of 4.
Write down 9 as next digit of of the result. 
Result so far: 1629
Subtract 81 from 85 to get 4.

The final result is 1629 with a remainder of 4.