6025 ÷ 4 = 1506 R1
We're going to perform division on 6025 with 4 as the divisor.

Step 1:
4 goes into 6 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 4 from 6 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 4

Step 2:
4 goes into 20 5 times with a remainder of 0.
Write down 5 as next digit of of the result. 
Result so far: 15
Subtract 20 from 20 to get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 4

Step 3:
4 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 150
Subtract 0 from 2 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 4

Step 4:
4 goes into 25 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 1506
Subtract 24 from 25 to get 1.

The final result is 1506 with a remainder of 1.