13824 ÷ 9 = 1536 R0
Alright, let's work through the division of 13824 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 (3) of the dividend behind the 1 and repeat the process: 13 / 9

Step 2:
9 goes into 13 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 9 from 13 to get 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 9

Step 3:
9 goes into 48 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 15
Subtract 45 from 48 to get 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 9

Step 4:
9 goes into 32 3 times with a remainder of 5.
Write down 3 as next digit of of the result. 
Result so far: 153
Subtract 27 from 32 to get 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 9

Step 5:
9 goes into 54 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 1536
Subtract 54 from 54 to get 0.

The final result is 1536 with a remainder of 0.