14829 ÷ 9 = 1647 R6
Alright, let's work through the division of 14829 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 (8) of the dividend behind the 5 and repeat the process: 58 / 9

Step 3:
9 goes into 58 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 16
Subtract 54 from 58 to get 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 9

Step 4:
9 goes into 42 4 times with a remainder of 6.
Write down 4 as next digit of of the result. 
Result so far: 164
Subtract 36 from 42 to get 6.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 9

Step 5:
9 goes into 69 7 times with a remainder of 6.
Write down 7 as next digit of of the result. 
Result so far: 1647
Subtract 63 from 69 to get 6.

The final result is 1647 with a remainder of 6.