25251 ÷ 9 = 2805 R6
Alright, let's work through the division of 25251 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 (2) of the dividend behind the 7 and repeat the process: 72 / 9

Step 3:
9 goes into 72 8 times with a remainder of 0.
Write down 8 as next digit of of the result. 
Result so far: 28
Subtract 72 from 72 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 9

Step 4:
9 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 280
Subtract 0 from 5 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 9

Step 5:
9 goes into 51 5 times with a remainder of 6.
Write down 5 as next digit of of the result. 
Result so far: 2805
Subtract 45 from 51 to get 6.

The final result is 2805 with a remainder of 6.