18625 ÷ 9 = 2069 R4
Alright, let's work through the division of 18625 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 (8) of the dividend behind the 1 and repeat the process: 18 / 9

Step 2:
9 goes into 18 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 18 from 18 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 9

Step 3:
9 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 20
Subtract 0 from 6 to get 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 9

Step 4:
9 goes into 62 6 times with a remainder of 8.
Write down 6 as next digit of of the result. 
Result so far: 206
Subtract 54 from 62 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: 2069
Subtract 81 from 85 to get 4.

The final result is 2069 with a remainder of 4.