We're dividing 513949 by 30 
Our goal is to divide 513949 by 30.

Going ahead to step 1:
The number 30 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 30

Step 2:
If we divide 51 by 30, we get 1 and a remainder of 21.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 21 after subtracting 30 from 51.
Take the next digit (3) from the dividend and append it to 21, then repeat: 213 / 30

Moving on to step 3:
The number 30 fits into 213 7 times, leaving a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 17.0
Subtract 210 from 213 to get 3.
Grab the next digit (9) from the dividend, add it to 3, then carry on: 39 / 30

Going ahead to step 4:
The number 30 fits into 39 1 times, leaving a remainder of 9.
The next digit of our result is 1. 
Result so far: 171.0
If we take 30 away from 39, we end up with 9.
Take the next digit (4) from the dividend and append it to 9, then repeat: 94 / 30

On to step 5:
If we divide 94 by 30, we get 3 and a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 1713.0
Subtracting 90 from 94 leaves us with 4.
Include the next digit (9) from the dividend after 4, then repeat: 49 / 30

Step 6:
49 divided by 30 is 1 with a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 17131.0
Deduct 30 from 49 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 7:
The number 30 fits into 190 6 times, leaving a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 17131.6
If we subtract 180 from 190, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
The number 30 fits into 100 3 times, leaving a remainder of 10.
Put 3 as the next digit of the answer. 
Result so far: 17131.63
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 9:
30 goes into 100 3 times with a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 17131.633
If we subtract 90 from 100, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 17131.633, and the remainder is 0.001.