25174 ÷ 5 = 5034 R4
Let's divide 25174 by 5.

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 (1) of the dividend behind the 0 and repeat the process: 1 / 5

Step 3:
5 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 50
Subtract 0 from 1 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 5

Step 4:
5 goes into 17 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 503
Subtract 15 from 17 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: 5034
Subtract 20 from 24 to get 4.

The final result is 5034 with a remainder of 4.