We look at the division of 2501 by 4 
Our goal is to divide 2501 by 4.

Advancing to step 1:
If we divide 2 by 4, we get 0 and a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 4

Moving on to step 2:
4 can be fit into 25 6 times, resulting in a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtracting 24 from 25 leaves us with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 4

On to step 3:
10 divided by 4 is 2 with a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 62.0
Subtract 8 from 10 to get 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 4

On to step 4:
4 can be fit into 21 5 times, resulting in a remainder of 1.
The next digit of our result is 5. 
Result so far: 625.0
If we take 20 away from 21, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 5:
4 goes into 10 2 times with a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 625.2
Subtract 8 from 10 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 6:
4 goes into 20 5 times with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 625.25
Subtracting 20 from 20 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 7:
The number 4 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 625.25
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 8:
When dividing 0 by 4, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 625.25
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 625.25 with a remaining 0.0.