We're dividing 510302 by 19 
We're looking to find how many times 19 goes into 510302.

Moving on to step 1:
The number 19 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 19

Going ahead 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
Subtract 38 from 51 to get 13.
Append the next digit (0) from the dividend to 13 and continue with: 130 / 19

Let's proceed to step 3:
19 goes into 130 6 times with a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 26.0
If we subtract 114 from 130, we get 16.
Append the next digit (3) from the dividend to 16 and continue with: 163 / 19

Let's proceed to step 4:
When dividing 163 by 19, we get 8 with a remainder of 11.
Put 8 as the next digit of the answer. 
Result so far: 268.0
Deduct 152 from 163 and we're left with 11.
Bring next digit (0) of the dividend behind the 11 and repeat the process: 110 / 19

Going ahead to step 5:
If we divide 110 by 19, we get 5 and a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 2685.0
Subtract 95 from 110 to get 15.
Bring next digit (2) of the dividend behind the 15 and repeat the process: 152 / 19

Step 6:
152 divided by 19 is 8 with a remainder of 0.
Use 8 as the next digit of our solution. 
Result so far: 26858.0
If we take 152 away from 152, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 7:
The number 19 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 26858.0
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 8:
19 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 26858.0
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 26858.0, and the remainder is 0.0.