25792 ÷ 9 = 2865 R7
Alright, let's work through the division of 25792 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 (5) of the dividend behind the 2 and repeat the process: 25 / 9

Step 2:
9 goes into 25 2 times with a remainder of 7.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 18 from 25 to get 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 9

Step 3:
9 goes into 77 8 times with a remainder of 5.
Write down 8 as next digit of of the result. 
Result so far: 28
Subtract 72 from 77 to get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 9

Step 4:
9 goes into 59 6 times with a remainder of 5.
Write down 6 as next digit of of the result. 
Result so far: 286
Subtract 54 from 59 to get 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 9

Step 5:
9 goes into 52 5 times with a remainder of 7.
Write down 5 as next digit of of the result. 
Result so far: 2865
Subtract 45 from 52 to get 7.

The final result is 2865 with a remainder of 7.