We look at the division of 300227 by 75 
We're looking to find how many times 75 goes into 300227.

Let's proceed to step 1:
3 divided by 75 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 75

Advancing to step 2:
If we divide 30 by 75, we get 0 and a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 30 after subtracting 0 from 30.
Take the next digit (0) from the dividend and append it to 30, then repeat: 300 / 75

Going ahead to step 3:
75 goes into 300 4 times with a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we take 300 away from 300, we end up with 0.
Take the next digit (2) from the dividend and append it to 0, then repeat: 2 / 75

Step 4:
75 goes into 2 0 times with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 40.0
Subtracting 0 from 2 leaves us with 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 75

Step 5:
If we divide 22 by 75, we get 0 and a remainder of 22.
Write down 0 as next digit of the result. 
Result so far: 400.0
If we take 0 away from 22, we end up with 22.
Fetch the next digit (7) from the dividend, attach it to 22 and continue: 227 / 75

Advancing to step 6:
If we divide 227 by 75, we get 3 and a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 4003.0
If we subtract 225 from 227, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
75 can be fit into 20 0 times, resulting in a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 4003.0
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 8:
The number 75 fits into 200 2 times, leaving a remainder of 50.
Put 2 as the next digit of the answer. 
Result so far: 4003.02
If we take 150 away from 200, we end up 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.

Moving on to step 9:
The number 75 fits into 500 6 times, leaving a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 4003.026
If we subtract 450 from 500, we 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.

Advancing to step 10:
When dividing 500 by 75, we get 6 with a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 4003.0266
The remainder is 50 after subtracting 450 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

In conclusion, the division gives 4003.0266 with a balance of 0.0005.