25875 ÷ 4 = 6468 R3
Let's divide 25875 by 4.

Step 1:
4 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 / 4

Step 2:
4 goes into 25 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 24 from 25 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 4

Step 3:
4 goes into 18 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 64
Subtract 16 from 18 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 4

Step 4:
4 goes into 27 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 646
Subtract 24 from 27 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 4

Step 5:
4 goes into 35 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 6468
Subtract 32 from 35 to get 3.

The final result is 6468 with a remainder of 3.