513809 ÷ 19 
We want to figure out the number of times 513809 can be divided by 19.

Going ahead to step 1:
5 divided by 19 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 19

Step 2:
The number 19 fits into 51 2 times, leaving a remainder of 13.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we subtract 38 from 51, we get 13.
Fetch the next digit (3) from the dividend, attach it to 13 and continue: 133 / 19

Going ahead to step 3:
If we divide 133 by 19, we get 7 and a remainder of 0.
The next digit of our result is 7. 
Result so far: 27.0
If we subtract 133 from 133, we get 0.
Fetch the next digit (8) from the dividend, attach it to 0 and continue: 8 / 19

On to step 4:
The number 19 fits into 8 0 times, leaving a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 270.0
Subtracting 0 from 8 leaves us with 8.
Grab the next digit (0) from the dividend, add it to 8, then carry on: 80 / 19

Going ahead to step 5:
19 can be fit into 80 4 times, resulting in a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 2704.0
If we take 76 away from 80, we end up with 4.
Include the next digit (9) from the dividend after 4, then repeat: 49 / 19

Advancing to step 6:
If we divide 49 by 19, we get 2 and a remainder of 11.
The next digit of our result is 2. 
Result so far: 27042.0
Subtracting 38 from 49 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 7:
19 can be fit into 110 5 times, resulting in a remainder of 15.
The next digit of our result is 5. 
Result so far: 27042.5
If we take 95 away from 110, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 8:
If we divide 150 by 19, we get 7 and a remainder of 17.
Record the quotient 7 as the next digit in the result. 
Result so far: 27042.57
Subtract 133 from 150 to get 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 9:
19 goes into 170 8 times with a remainder of 18.
Record the quotient 8 as the next digit in the result. 
Result so far: 27042.578
Deduct 152 from 170 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 10:
If we divide 180 by 19, we get 9 and a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 27042.5789
If we take 171 away from 180, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 11:
If we divide 90 by 19, we get 4 and a remainder of 14.
The next digit of our result is 4. 
Result so far: 27042.57894
Deduct 76 from 90 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 12:
19 can be fit into 140 7 times, resulting in a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 27042.578947
The remainder is 7 after subtracting 133 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 13:
70 divided by 19 is 3 with a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 27042.5789473
Subtract 57 from 70 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 14:
130 divided by 19 is 6 with a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 27042.57894736
Subtract 114 from 130 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final outcome is 27042.57894736, with a leftover of 1.6e-08.