25325 ÷ 6 = 4220 R5
Alright, let's work through the division of 25325 by 6 step by step.

Step 1:
6 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 / 6

Step 2:
6 goes into 25 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 24 from 25 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 6

Step 3:
6 goes into 13 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 42
Subtract 12 from 13 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 6

Step 4:
6 goes into 12 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 422
Subtract 12 from 12 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 6

Step 5:
6 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 4220
Subtract 0 from 5 to get 5.

The final result is 4220 with a remainder of 5.