81782 ÷ 9 = 9086 R8
Alright, let's work through the division of 81782 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 (7) of the dividend behind the 0 and repeat the process: 7 / 9

Step 3:
9 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of of the result. 
Result so far: 90
Subtract 0 from 7 to get 7.
Bring next digit (8) of the dividend behind the 7 and repeat the process: 78 / 9

Step 4:
9 goes into 78 8 times with a remainder of 6.
Write down 8 as next digit of of the result. 
Result so far: 908
Subtract 72 from 78 to get 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 9

Step 5:
9 goes into 62 6 times with a remainder of 8.
Write down 6 as next digit of of the result. 
Result so far: 9086
Subtract 54 from 62 to get 8.

The final result is 9086 with a remainder of 8.