309809 ÷ 75 
Our goal is to divide 309809 by 75.

Advancing to step 1:
The number 75 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 75

Let's proceed to step 2:
The number 75 fits into 30 0 times, leaving a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 30, we get 30.
Bring next digit (9) of the dividend behind the 30 and repeat the process: 309 / 75

Let's proceed to step 3:
309 divided by 75 is 4 with a remainder of 9.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we take 300 away from 309, we end up with 9.
Grab the next digit (8) from the dividend, add it to 9, then carry on: 98 / 75

Step 4:
98 divided by 75 is 1 with a remainder of 23.
The next digit of our result is 1. 
Result so far: 41.0
Subtract 75 from 98 to get 23.
Fetch the next digit (0) from the dividend, attach it to 23 and continue: 230 / 75

Going ahead to step 5:
If we divide 230 by 75, we get 3 and a remainder of 5.
The next digit of our result is 3. 
Result so far: 413.0
The remainder is 5 after subtracting 225 from 230.
Include the next digit (9) from the dividend after 5, then repeat: 59 / 75

On to step 6:
75 can be fit into 59 0 times, resulting in a remainder of 59.
The next digit of our result is 0. 
Result so far: 4130.0
Subtract 0 from 59 to get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Moving on to step 7:
590 divided by 75 is 7 with a remainder of 65.
Use 7 as the next digit of our solution. 
Result so far: 4130.7
Subtract 525 from 590 to get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Advancing to step 8:
When dividing 650 by 75, we get 8 with a remainder of 50.
The next digit of our result is 8. 
Result so far: 4130.78
The remainder is 50 after subtracting 600 from 650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 9:
75 can be fit into 500 6 times, resulting in a remainder of 50.
Record the quotient 6 as the next digit in the result. 
Result so far: 4130.786
Deduct 450 from 500 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 10:
75 goes into 500 6 times with a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 4130.7866
Subtract 450 from 500 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

After the division, we end up with 4130.7866 and a remainder of 0.0005.