We look at the division of 513777 by 19 
Our goal is to divide 513777 by 19.

Advancing to step 1:
If we divide 5 by 19, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 19

On to step 2:
19 goes into 51 2 times with a remainder of 13.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtracting 38 from 51 leaves us with 13.
Take the next digit (3) from the dividend and append it to 13, then repeat: 133 / 19

Moving on to step 3:
19 can be fit into 133 7 times, resulting in a remainder of 0.
Put 7 as the next digit of the answer. 
Result so far: 27.0
Subtracting 133 from 133 leaves us with 0.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 19

Moving on to step 4:
19 can be fit into 7 0 times, resulting in a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 270.0
Subtract 0 from 7 to get 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 19

Moving on to step 5:
When dividing 77 by 19, we get 4 with a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 2704.0
If we take 76 away from 77, we end up with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 19

Step 6:
17 divided by 19 is 0 with a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 27040.0
Subtract 0 from 17 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 7:
19 can be fit into 170 8 times, resulting in a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 27040.8
The remainder is 18 after subtracting 152 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 8:
19 goes into 180 9 times with a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 27040.89
If we subtract 171 from 180, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 9:
19 can be fit into 90 4 times, resulting in a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 27040.894
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.

Moving on to step 10:
If we divide 140 by 19, we get 7 and a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 27040.8947
Deduct 133 from 140 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 11:
70 divided by 19 is 3 with a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 27040.89473
Deduct 57 from 70 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 12:
130 divided by 19 is 6 with a remainder of 16.
The next digit of our result is 6. 
Result so far: 27040.894736
If we take 114 away from 130, we end up 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 13:
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: 27040.8947368
The remainder is 8 after subtracting 152 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 14:
The number 19 fits into 80 4 times, leaving a remainder of 4.
The next digit of our result is 4. 
Result so far: 27040.89473684
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.

The quotient of the division is 27040.89473684, and the remainder is 4e-09.