We're dividing 575301 by 27 
We want to figure out the number of times 575301 can be divided by 27.

Moving on to step 1:
27 can be fit into 5 0 times, resulting in a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 27

Moving on to step 2:
When dividing 57 by 27, we get 2 with a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtracting 54 from 57 leaves us with 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 27

On to step 3:
The number 27 fits into 35 1 times, leaving a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 21.0
Subtracting 27 from 35 leaves us with 8.
Grab the next digit (3) from the dividend, add it to 8, then carry on: 83 / 27

Let's proceed to step 4:
If we divide 83 by 27, we get 3 and a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 213.0
If we take 81 away from 83, we end up with 2.
Append the next digit (0) from the dividend to 2 and continue with: 20 / 27

Advancing to step 5:
The number 27 fits into 20 0 times, leaving a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 2130.0
Subtract 0 from 20 to get 20.
Append the next digit (1) from the dividend to 20 and continue with: 201 / 27

Moving on to step 6:
The number 27 fits into 201 7 times, leaving a remainder of 12.
The next digit of our result is 7. 
Result so far: 21307.0
Subtract 189 from 201 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 7:
When dividing 120 by 27, we get 4 with a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 21307.4
Subtract 108 from 120 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 8:
The number 27 fits into 120 4 times, leaving a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 21307.44
The remainder is 12 after subtracting 108 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Our division results in 21307.44 with a remaining 0.012.