Let's divide 100503 by 25
We're looking to find how many times 25 goes into 100503.

Advancing to step 1:
When dividing 1 by 25, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 25

Moving on to step 2:
25 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Grab the next digit (0) from the dividend, add it to 10, then carry on: 100 / 25

Step 3:
When dividing 100 by 25, we get 4 with a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Deduct 100 from 100 and we're left with 0.
Append the next digit (5) from the dividend to 0 and continue with: 5 / 25

Moving on to step 4:
The number 25 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 40.0
Subtract 0 from 5 to get 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 25

Advancing to step 5:
25 can be fit into 50 2 times, resulting in a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 402.0
If we take 50 away from 50, we end up with 0.
Include the next digit (3) from the dividend after 0, then repeat: 3 / 25

On to step 6:
3 divided by 25 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 4020.0
Subtracting 0 from 3 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 7:
The number 25 fits into 30 1 times, leaving a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 4020.1
Subtracting 25 from 30 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 8:
The number 25 fits into 50 2 times, leaving a remainder of 0.
The next digit of our result is 2. 
Result so far: 4020.12
If we subtract 50 from 50, 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.

Moving on to step 9:
25 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 4020.12
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.

Let's proceed to step 10:
When dividing 0 by 25, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 4020.12
If we take 0 away from 0, we end up 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.

After the division, we end up with 4020.12 and a remainder of 0.0.