We're dividing 574325 by 30 
We want to figure out the number of times 574325 can be divided by 30.

Going ahead to step 1:
If we divide 5 by 30, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 30

Advancing to step 2:
30 goes into 57 1 times with a remainder of 27.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 30 from 57 and we're left with 27.
Take the next digit (4) from the dividend and append it to 27, then repeat: 274 / 30

Moving on to step 3:
30 goes into 274 9 times with a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 19.0
Deduct 270 from 274 and we're left with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 30

On to step 4:
43 divided by 30 is 1 with a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 191.0
Subtract 30 from 43 to get 13.
Fetch the next digit (2) from the dividend, attach it to 13 and continue: 132 / 30

On to step 5:
132 divided by 30 is 4 with a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 1914.0
Subtracting 120 from 132 leaves us with 12.
Bring next digit (5) of the dividend behind the 12 and repeat the process: 125 / 30

Moving on to step 6:
The number 30 fits into 125 4 times, leaving a remainder of 5.
Record the quotient 4 as the next digit in the result. 
Result so far: 19144.0
Subtract 120 from 125 to 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 7:
The number 30 fits into 50 1 times, leaving a remainder of 20.
The next digit of our result is 1. 
Result so far: 19144.1
Deduct 30 from 50 and we're left 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 30 fits into 200 6 times, leaving a remainder of 20.
The number 6 becomes the next digit in our result. 
Result so far: 19144.16
The remainder is 20 after subtracting 180 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 9:
200 divided by 30 is 6 with a remainder of 20.
The next digit of our result is 6. 
Result so far: 19144.166
Subtract 180 from 200 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final result is 19144.166 with a remainder of 0.002.