81623 ÷ 9 = 9069 R2
Alright, let's work through the division of 81623 by 9 step by step.

Step 1:
9 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 8 to get 8.
Bring next digit (1) of the dividend behind the 8 and repeat the process: 81 / 9

Step 2:
9 goes into 81 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 81 from 81 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: 90
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: 906
Subtract 54 from 62 to get 8.
Bring next digit (3) of the dividend behind the 8 and repeat the process: 83 / 9

Step 5:
9 goes into 83 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 9069
Subtract 81 from 83 to get 2.

The final result is 9069 with a remainder of 2.