2505 ÷ 4 = 626 R1
Alright, let's work through the division of 2505 by 4 step by step.

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 (0) of the dividend behind the 1 and repeat the process: 10 / 4

Step 3:
4 goes into 10 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 62
Subtract 8 from 10 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: 626
Subtract 24 from 25 to get 1.

The final result is 626 with a remainder of 1.