We look at the division of 103299 by 25 
We're looking to find how many times 25 goes into 103299.

Step 1:
When dividing 1 by 25, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 25

Going ahead to step 2:
25 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Take the next digit (3) from the dividend and append it to 10, then repeat: 103 / 25

Moving on to step 3:
If we divide 103 by 25, we get 4 and a remainder of 3.
Write down 4 as next digit of the result. 
Result so far: 4.0
The remainder is 3 after subtracting 100 from 103.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 25

Step 4:
25 can be fit into 32 1 times, resulting in a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 41.0
Subtract 25 from 32 to get 7.
Bring next digit (9) of the dividend behind the 7 and repeat the process: 79 / 25

Step 5:
25 goes into 79 3 times with a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 413.0
If we subtract 75 from 79, we get 4.
Fetch the next digit (9) from the dividend, attach it to 4 and continue: 49 / 25

Advancing to step 6:
When dividing 49 by 25, we get 1 with a remainder of 24.
The number 1 becomes the next digit in our result. 
Result so far: 4131.0
Subtract 25 from 49 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 7:
The number 25 fits into 240 9 times, leaving a remainder of 15.
The number 9 becomes the next digit in our result. 
Result so far: 4131.9
The remainder is 15 after subtracting 225 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 8:
If we divide 150 by 25, we get 6 and a remainder of 0.
Put 6 as the next digit of the answer. 
Result so far: 4131.96
If we take 150 away from 150, 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.

Advancing to step 9:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 4131.96
Subtracting 0 from 0 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.

On to step 10:
0 divided by 25 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 4131.96
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.

The quotient of the division is 4131.96, and the remainder is 0.0.