73624 ÷ 9 = 8180 R4
Alright, let's work through the division of 73624 by 9 step by step.

Step 1:
9 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 7 to get 7.
Bring next digit (3) of the dividend behind the 7 and repeat the process: 73 / 9

Step 2:
9 goes into 73 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 8
Subtract 72 from 73 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 9

Step 3:
9 goes into 16 1 times with a remainder of 7.
Write down 1 as next digit of of the result. 
Result so far: 81
Subtract 9 from 16 to get 7.
Bring next digit (2) of the dividend behind the 7 and repeat the process: 72 / 9

Step 4:
9 goes into 72 8 times with a remainder of 0.
Write down 8 as next digit of of the result. 
Result so far: 818
Subtract 72 from 72 to get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 9

Step 5:
9 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 8180
Subtract 0 from 4 to get 4.

The final result is 8180 with a remainder of 4.