We look at the division of 253303 by 25 
We want to divide 253303 by 25.

Advancing to step 1:
When dividing 2 by 25, we get 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 25

Going ahead to step 2:
When dividing 25 by 25, we get 1 with a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 25 away from 25, we end up with 0.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 25

Going ahead to step 3:
If we divide 3 by 25, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we subtract 0 from 3, we get 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 25

Advancing to step 4:
When dividing 33 by 25, we get 1 with a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 101.0
If we subtract 25 from 33, we get 8.
Include the next digit (0) from the dividend after 8, then repeat: 80 / 25

Going ahead to step 5:
When dividing 80 by 25, we get 3 with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 1013.0
If we subtract 75 from 80, we get 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 25

Moving on to step 6:
When dividing 53 by 25, we get 2 with a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 10132.0
Deduct 50 from 53 and we're left 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:
25 goes into 30 1 times with a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 10132.1
Deduct 25 from 30 and we're left 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.

Advancing to step 8:
25 goes into 50 2 times with a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 10132.12
The remainder is 0 after subtracting 50 from 50.
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 9:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 10132.12
Subtract 0 from 0 to 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.

On to step 10:
When dividing 0 by 25, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 10132.12
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.

After the division, we end up with 10132.12 and a remainder of 0.0.