25424 ÷ 5 = 5084 R4
Alright, let's work through the division of 25424 by 5 step by step.

Step 1:
5 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 / 5

Step 2:
5 goes into 25 5 times with a remainder of 0.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 25 from 25 to get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 5

Step 3:
5 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 50
Subtract 0 from 4 to get 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 5

Step 4:
5 goes into 42 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 508
Subtract 40 from 42 to get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 5

Step 5:
5 goes into 24 4 times with a remainder of 4.
Write down 4 as next digit of of the result. 
Result so far: 5084
Subtract 20 from 24 to get 4.

The final result is 5084 with a remainder of 4.