Let's divide 513557 by 30
Our goal is to divide 513557 by 30.

Advancing to step 1:
If we divide 5 by 30, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 30

Let's proceed to step 2:
30 can be fit into 51 1 times, resulting in a remainder of 21.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 30 from 51 leaves us with 21.
Grab the next digit (3) from the dividend, add it to 21, then carry on: 213 / 30

Let's proceed to step 3:
213 divided by 30 is 7 with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 17.0
Subtract 210 from 213 to get 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 30

Advancing to step 4:
The number 30 fits into 35 1 times, leaving a remainder of 5.
The next digit of our result is 1. 
Result so far: 171.0
Subtract 30 from 35 to get 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 30

Let's proceed to step 5:
30 goes into 55 1 times with a remainder of 25.
Write down 1 as next digit of the result. 
Result so far: 1711.0
Subtracting 30 from 55 leaves us with 25.
Bring next digit (7) of the dividend behind the 25 and repeat the process: 257 / 30

Moving on to step 6:
The number 30 fits into 257 8 times, leaving a remainder of 17.
Put 8 as the next digit of the answer. 
Result so far: 17118.0
Subtracting 240 from 257 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 7:
If we divide 170 by 30, we get 5 and a remainder of 20.
The next digit of our result is 5. 
Result so far: 17118.5
If we subtract 150 from 170, we 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.

On to step 8:
200 divided by 30 is 6 with a remainder of 20.
The number 6 becomes the next digit in our result. 
Result so far: 17118.56
Subtracting 180 from 200 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.

Advancing to step 9:
30 goes into 200 6 times with a remainder of 20.
The number 6 becomes the next digit in our result. 
Result so far: 17118.566
Deduct 180 from 200 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.

The final result is 17118.566 with a remainder of 0.002.