10565 ÷ 9 = 1173 R8
Let's divide 10565 by 9.

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 (0) of the dividend behind the 1 and repeat the process: 10 / 9

Step 2:
9 goes into 10 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 9 from 10 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 9

Step 3:
9 goes into 15 1 times with a remainder of 6.
Write down 1 as next digit of of the result. 
Result so far: 11
Subtract 9 from 15 to get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 9

Step 4:
9 goes into 66 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 117
Subtract 63 from 66 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 9

Step 5:
9 goes into 35 3 times with a remainder of 8.
Write down 3 as next digit of of the result. 
Result so far: 1173
Subtract 27 from 35 to get 8.

The final result is 1173 with a remainder of 8.