20580 ÷ 9 = 2286 R6
Alright, let's work through the division of 20580 by 9 step by step.

Step 1:
9 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 2 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 9

Step 2:
9 goes into 20 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 18 from 20 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 9

Step 3:
9 goes into 25 2 times with a remainder of 7.
Write down 2 as next digit of of the result. 
Result so far: 22
Subtract 18 from 25 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: 228
Subtract 72 from 78 to get 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 9

Step 5:
9 goes into 60 6 times with a remainder of 6.
Write down 6 as next digit of of the result. 
Result so far: 2286
Subtract 54 from 60 to get 6.

The final result is 2286 with a remainder of 6.