5092 ÷ 9 = 565 R7
Alright, let's work through the division of 5092 by 9 step by step.

Step 1:
9 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 5 to get 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 9

Step 2:
9 goes into 50 5 times with a remainder of 5.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 45 from 50 to get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 9

Step 3:
9 goes into 59 6 times with a remainder of 5.
Write down 6 as next digit of of the result. 
Result so far: 56
Subtract 54 from 59 to get 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 9

Step 4:
9 goes into 52 5 times with a remainder of 7.
Write down 5 as next digit of of the result. 
Result so far: 565
Subtract 45 from 52 to get 7.

The final result is 565 with a remainder of 7.