309103 ÷ 25 
We want to figure out the number of times 309103 can be divided by 25.

Step 1:
25 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Append the next digit (0) from the dividend to 3 and continue with: 30 / 25

Advancing to step 2:
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: 1.0
Subtracting 25 from 30 leaves us with 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 25

Step 3:
When dividing 59 by 25, we get 2 with a remainder of 9.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Subtracting 50 from 59 leaves us with 9.
Include the next digit (1) from the dividend after 9, then repeat: 91 / 25

On to step 4:
When dividing 91 by 25, we get 3 with a remainder of 16.
Write down 3 as next digit of the result. 
Result so far: 123.0
Subtracting 75 from 91 leaves us with 16.
Grab the next digit (0) from the dividend, add it to 16, then carry on: 160 / 25

On to step 5:
25 can be fit into 160 6 times, resulting in a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 1236.0
If we take 150 away from 160, we end up with 10.
Fetch the next digit (3) from the dividend, attach it to 10 and continue: 103 / 25

Step 6:
103 divided by 25 is 4 with a remainder of 3.
The next digit of our result is 4. 
Result so far: 12364.0
Deduct 100 from 103 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.

Let's proceed to step 7:
The number 25 fits into 30 1 times, leaving a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 12364.1
If we subtract 25 from 30, we get 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:
50 divided by 25 is 2 with a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 12364.12
Subtracting 50 from 50 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 9:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 12364.12
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.

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: 12364.12
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.

The quotient of the division is 12364.12, and the remainder is 0.0.