25026 ÷ 9 = 2780 R6
Alright, let's work through the division of 25026 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 (0) of the dividend behind the 7 and repeat the process: 70 / 9

Step 3:
9 goes into 70 7 times with a remainder of 7.
Write down 7 as next digit of of the result. 
Result so far: 27
Subtract 63 from 70 to get 7.
Bring next digit (2) of the dividend behind the 7 and repeat the process: 72 / 9

Step 4:
9 goes into 72 8 times with a remainder of 0.
Write down 8 as next digit of of the result. 
Result so far: 278
Subtract 72 from 72 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 9

Step 5:
9 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 2780
Subtract 0 from 6 to get 6.

The final result is 2780 with a remainder of 6.