We look at the division of 515797 by 19 
Our goal is to divide 515797 by 19.

Going ahead to step 1:
5 divided by 19 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 19

Advancing to step 2:
If we divide 51 by 19, we get 2 and a remainder of 13.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we subtract 38 from 51, we get 13.
Fetch the next digit (5) from the dividend, attach it to 13 and continue: 135 / 19

Step 3:
19 goes into 135 7 times with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 27.0
If we subtract 133 from 135, we get 2.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 19

Step 4:
19 goes into 27 1 times with a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 271.0
Subtract 19 from 27 to get 8.
Bring next digit (9) of the dividend behind the 8 and repeat the process: 89 / 19

Moving on to step 5:
When dividing 89 by 19, we get 4 with a remainder of 13.
Write down 4 as next digit of the result. 
Result so far: 2714.0
If we subtract 76 from 89, we get 13.
Include the next digit (7) from the dividend after 13, then repeat: 137 / 19

Let's proceed to step 6:
19 can be fit into 137 7 times, resulting in a remainder of 4.
Put 7 as the next digit of the answer. 
Result so far: 27147.0
If we take 133 away from 137, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 7:
The number 19 fits into 40 2 times, leaving a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 27147.2
If we take 38 away from 40, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
The number 19 fits into 20 1 times, leaving a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 27147.21
If we subtract 19 from 20, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 9:
19 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 27147.21
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.

Step 10:
19 goes into 100 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 27147.2105
The remainder is 5 after subtracting 95 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 11:
If we divide 50 by 19, we get 2 and a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 27147.21052
Deduct 38 from 50 and we're left 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.

Step 12:
19 goes into 120 6 times with a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 27147.210526
If we take 114 away from 120, we end up 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.

Advancing to step 13:
19 goes into 60 3 times with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 27147.2105263
If we subtract 57 from 60, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 14:
If we divide 30 by 19, we get 1 and a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 27147.21052631
If we take 19 away from 30, we end up 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.

Our division results in 27147.21052631 with a remaining 1.1e-08.