513027 divided by 19 
We want to divide 513027 by 19.

On to step 1:
When dividing 5 by 19, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 19

Advancing 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.
Bring next digit (3) of the dividend behind the 13 and repeat the process: 133 / 19

Step 3:
19 goes into 133 7 times with a remainder of 0.
Record the quotient 7 as the next digit in the result. 
Result so far: 27.0
If we take 133 away from 133, we end up with 0.
Append the next digit (0) from the dividend to 0 and continue with: 0 / 19

Let's proceed to step 4:
If we divide 0 by 19, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 270.0
If we take 0 away from 0, we end up with 0.
Take the next digit (2) from the dividend and append it to 0, then repeat: 2 / 19

Moving on to step 5:
19 goes into 2 0 times with a remainder of 2.
The next digit of our result is 0. 
Result so far: 2700.0
The remainder is 2 after subtracting 0 from 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 19

Advancing to step 6:
19 can be fit into 27 1 times, resulting in a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 27001.0
Subtracting 19 from 27 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 7:
The number 19 fits into 80 4 times, leaving a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 27001.4
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.

Advancing to step 8:
19 goes into 40 2 times with a remainder of 2.
The next digit of our result is 2. 
Result so far: 27001.42
The remainder is 2 after subtracting 38 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 9:
19 goes into 20 1 times with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 27001.421
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.

Moving on to step 10:
When dividing 10 by 19, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 27001.421
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 11:
The number 19 fits into 100 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 27001.42105
Subtract 95 from 100 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 12:
When dividing 50 by 19, we get 2 with a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 27001.421052
If we take 38 away from 50, we end up 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.

Let's proceed to step 13:
When dividing 120 by 19, we get 6 with a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 27001.4210526
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.

Moving on to step 14:
When dividing 60 by 19, we get 3 with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 27001.42105263
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.

After the division, we end up with 27001.42105263 and a remainder of 3e-09.