We're dividing 575970 by 27 
We want to figure out the number of times 575970 can be divided by 27.

Going ahead to step 1:
The number 27 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 27

On to step 2:
27 goes into 57 2 times with a remainder of 3.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 54 from 57 and we're left with 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 27

Going ahead to step 3:
27 goes into 35 1 times with a remainder of 8.
The next digit of our result is 1. 
Result so far: 21.0
If we take 27 away from 35, we end up with 8.
Include the next digit (9) from the dividend after 8, then repeat: 89 / 27

Let's proceed to step 4:
89 divided by 27 is 3 with a remainder of 8.
Put 3 as the next digit of the answer. 
Result so far: 213.0
Subtracting 81 from 89 leaves us with 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 27

Advancing to step 5:
87 divided by 27 is 3 with a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 2133.0
If we subtract 81 from 87, we get 6.
Grab the next digit (0) from the dividend, add it to 6, then carry on: 60 / 27

Let's proceed to step 6:
If we divide 60 by 27, we get 2 and a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 21332.0
The remainder is 6 after subtracting 54 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
If we divide 60 by 27, we get 2 and a remainder of 6.
The next digit of our result is 2. 
Result so far: 21332.2
If we subtract 54 from 60, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 8:
When dividing 60 by 27, we get 2 with a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 21332.22
Subtracting 54 from 60 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The quotient of the division is 21332.22, and the remainder is 0.006.