We divide 510209 by 19
Our goal is to divide 510209 by 19.

On to step 1:
The number 19 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 19

On to step 2:
When dividing 51 by 19, we get 2 with a remainder of 13.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtract 38 from 51 to get 13.
Append the next digit (0) from the dividend to 13 and continue with: 130 / 19

Advancing to step 3:
When dividing 130 by 19, we get 6 with a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 26.0
The remainder is 16 after subtracting 114 from 130.
Fetch the next digit (2) from the dividend, attach it to 16 and continue: 162 / 19

Advancing to step 4:
The number 19 fits into 162 8 times, leaving a remainder of 10.
The number 8 becomes the next digit in our result. 
Result so far: 268.0
If we subtract 152 from 162, we get 10.
Include the next digit (0) from the dividend after 10, then repeat: 100 / 19

Moving on to step 5:
100 divided by 19 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 2685.0
Subtracting 95 from 100 leaves us with 5.
Grab the next digit (9) from the dividend, add it to 5, then carry on: 59 / 19

Moving on to step 6:
19 goes into 59 3 times with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 26853.0
If we take 57 away from 59, 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.

Going ahead to step 7:
20 divided by 19 is 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 26853.1
If we take 19 away from 20, we end up 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.

Going ahead to step 8:
If we divide 10 by 19, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 26853.1
Subtract 0 from 10 to 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.

Let's proceed to step 9:
If we divide 100 by 19, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 26853.105
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.

Step 10:
50 divided by 19 is 2 with a remainder of 12.
The next digit of our result is 2. 
Result so far: 26853.1052
The remainder is 12 after subtracting 38 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 11:
19 can be fit into 120 6 times, resulting in a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 26853.10526
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 12:
When dividing 60 by 19, we get 3 with a remainder of 3.
The next digit of our result is 3. 
Result so far: 26853.105263
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.

Going ahead to step 13:
When dividing 30 by 19, we get 1 with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 26853.1052631
Deduct 19 from 30 and we're left 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 14:
19 can be fit into 110 5 times, resulting in a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 26853.10526315
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.

Our division results in 26853.10526315 with a remaining 1.5e-08.