514665 divided by 19 
Our goal is to divide 514665 by 19.

Moving on to step 1:
19 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 19

Step 2:
19 goes into 51 2 times with a remainder of 13.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 38 from 51 and we're left with 13.
Grab the next digit (4) from the dividend, add it to 13, then carry on: 134 / 19

Advancing to step 3:
When dividing 134 by 19, we get 7 with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 27.0
The remainder is 1 after subtracting 133 from 134.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 19

On to step 4:
When dividing 16 by 19, we get 0 with a remainder of 16.
Write down 0 as next digit of the result. 
Result so far: 270.0
The remainder is 16 after subtracting 0 from 16.
Append the next digit (6) from the dividend to 16 and continue with: 166 / 19

Advancing to step 5:
When dividing 166 by 19, we get 8 with a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 2708.0
If we subtract 152 from 166, we get 14.
Include the next digit (5) from the dividend after 14, then repeat: 145 / 19

Going ahead to step 6:
When dividing 145 by 19, we get 7 with a remainder of 12.
The next digit of our result is 7. 
Result so far: 27087.0
If we take 133 away from 145, 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.

Advancing to step 7:
19 goes into 120 6 times with a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 27087.6
Subtract 114 from 120 to 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.

Advancing to step 8:
19 goes into 60 3 times with a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 27087.63
Subtract 57 from 60 to 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 9:
When dividing 30 by 19, we get 1 with a remainder of 11.
The next digit of our result is 1. 
Result so far: 27087.631
If we take 19 away from 30, we end up 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.

Moving on to step 10:
19 goes into 110 5 times with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 27087.6315
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.

Step 11:
The number 19 fits into 150 7 times, leaving a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 27087.63157
The remainder is 17 after subtracting 133 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 12:
19 can be fit into 170 8 times, resulting in a remainder of 18.
Put 8 as the next digit of the answer. 
Result so far: 27087.631578
The remainder is 18 after subtracting 152 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 13:
180 divided by 19 is 9 with a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 27087.6315789
Subtract 171 from 180 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 14:
If we divide 90 by 19, we get 4 and a remainder of 14.
Record the quotient 4 as the next digit in the result. 
Result so far: 27087.63157894
Deduct 76 from 90 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final result is 27087.63157894 with a remainder of 1.4e-08.