510857 divided by 19 
We want to figure out the number of times 510857 can be divided by 19.

Step 1:
19 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 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
Subtract 38 from 51 to get 13.
Take the next digit (0) from the dividend and append it to 13, then repeat: 130 / 19

On to step 3:
If we divide 130 by 19, we get 6 and a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 26.0
Subtracting 114 from 130 leaves us with 16.
Grab the next digit (8) from the dividend, add it to 16, then carry on: 168 / 19

Step 4:
If we divide 168 by 19, we get 8 and a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 268.0
Deduct 152 from 168 and we're left with 16.
Append the next digit (5) from the dividend to 16 and continue with: 165 / 19

On to step 5:
When dividing 165 by 19, we get 8 with a remainder of 13.
Record the quotient 8 as the next digit in the result. 
Result so far: 2688.0
Deduct 152 from 165 and we're left with 13.
Append the next digit (7) from the dividend to 13 and continue with: 137 / 19

Moving on to step 6:
When dividing 137 by 19, we get 7 with a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 26887.0
If we subtract 133 from 137, we 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 7:
If we divide 40 by 19, we get 2 and a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 26887.2
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.

Let's proceed to step 8:
When dividing 20 by 19, we get 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 26887.21
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.

Moving on to step 9:
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: 26887.21
If we take 0 away from 10, we end up 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.

On to step 10:
When dividing 100 by 19, we get 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 26887.2105
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.

Moving on to step 11:
19 can be fit into 50 2 times, resulting in a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 26887.21052
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.

On to step 12:
The number 19 fits into 120 6 times, leaving a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 26887.210526
Deduct 114 from 120 and we're left 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.

On to step 13:
If we divide 60 by 19, we get 3 and a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 26887.2105263
Subtracting 57 from 60 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 14:
The number 19 fits into 30 1 times, leaving a remainder of 11.
The next digit of our result is 1. 
Result so far: 26887.21052631
If we subtract 19 from 30, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The final outcome is 26887.21052631, with a leftover of 1.1e-08.