We're dividing 513909 by 19 
We want to divide 513909 by 19.

On to step 1:
When dividing 5 by 19, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 19

Going ahead to step 2:
If we divide 51 by 19, we get 2 and a remainder of 13.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtracting 38 from 51 leaves us with 13.
Bring next digit (3) of the dividend behind the 13 and repeat the process: 133 / 19

Going ahead to step 3:
19 can be fit into 133 7 times, resulting in a remainder of 0.
Use 7 as the next digit of our solution. 
Result so far: 27.0
The remainder is 0 after subtracting 133 from 133.
Take the next digit (9) from the dividend and append it to 0, then repeat: 9 / 19

Let's proceed to step 4:
19 goes into 9 0 times with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 270.0
Subtracting 0 from 9 leaves us with 9.
Include the next digit (0) from the dividend after 9, then repeat: 90 / 19

Let's proceed to step 5:
19 can be fit into 90 4 times, resulting in a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 2704.0
The remainder is 14 after subtracting 76 from 90.
Include the next digit (9) from the dividend after 14, then repeat: 149 / 19

On to step 6:
19 can be fit into 149 7 times, resulting in a remainder of 16.
The next digit of our result is 7. 
Result so far: 27047.0
Deduct 133 from 149 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 7:
When dividing 160 by 19, we get 8 with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 27047.8
Subtract 152 from 160 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 8:
The number 19 fits into 80 4 times, leaving a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 27047.84
Subtract 76 from 80 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 9:
19 goes into 40 2 times with a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 27047.842
If we subtract 38 from 40, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 10:
19 can be fit into 20 1 times, resulting in a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 27047.8421
Deduct 19 from 20 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 11:
When dividing 10 by 19, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 27047.8421
If we subtract 0 from 10, 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.

Going ahead to step 12:
100 divided by 19 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 27047.842105
Deduct 95 from 100 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 13:
50 divided by 19 is 2 with a remainder of 12.
The next digit of our result is 2. 
Result so far: 27047.8421052
Subtracting 38 from 50 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 14:
19 goes into 120 6 times with a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 27047.84210526
Subtracting 114 from 120 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 27047.84210526, and the remainder is 6e-09.