514962 ÷ 19 
We're looking to find how many times 19 goes into 514962.

Advancing to step 1:
If we divide 5 by 19, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
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

Advancing to step 2:
19 goes into 51 2 times with a remainder of 13.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we subtract 38 from 51, we get 13.
Include the next digit (4) from the dividend after 13, then repeat: 134 / 19

Step 3:
The number 19 fits into 134 7 times, leaving a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 27.0
If we subtract 133 from 134, we get 1.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 19

Let's proceed to step 4:
When dividing 19 by 19, we get 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 271.0
If we subtract 19 from 19, we get 0.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 19

Advancing to step 5:
19 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
Result so far: 2710.0
If we subtract 0 from 6, we get 6.
Take the next digit (2) from the dividend and append it to 6, then repeat: 62 / 19

On to step 6:
If we divide 62 by 19, we get 3 and a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 27103.0
If we take 57 away from 62, we end up with 5.
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 7:
The number 19 fits into 50 2 times, leaving a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 27103.2
If we subtract 38 from 50, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 8:
120 divided by 19 is 6 with a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 27103.26
If we subtract 114 from 120, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 9:
60 divided by 19 is 3 with a remainder of 3.
The next digit of our result is 3. 
Result so far: 27103.263
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 10:
19 can be fit into 30 1 times, resulting in a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 27103.2631
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.

Advancing to step 11:
The number 19 fits into 110 5 times, leaving a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 27103.26315
Subtract 95 from 110 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 12:
When dividing 150 by 19, we get 7 with a remainder of 17.
Record the quotient 7 as the next digit in the result. 
Result so far: 27103.263157
Subtract 133 from 150 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 13:
170 divided by 19 is 8 with a remainder of 18.
Use 8 as the next digit of our solution. 
Result so far: 27103.2631578
If we subtract 152 from 170, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 14:
When dividing 180 by 19, we get 9 with a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 27103.26315789
Deduct 171 from 180 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The final result is 27103.26315789 with a remainder of 9e-09.