509221 divided by 19 
Our goal is to divide 509221 by 19.

Going ahead to step 1:
5 divided by 19 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 19

Let's proceed to step 2:
The number 19 fits into 50 2 times, leaving a remainder of 12.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 38 from 50 and we're left with 12.
Bring next digit (9) of the dividend behind the 12 and repeat the process: 129 / 19

Advancing to step 3:
If we divide 129 by 19, we get 6 and a remainder of 15.
Use 6 as the next digit of our solution. 
Result so far: 26.0
If we subtract 114 from 129, we get 15.
Include the next digit (2) from the dividend after 15, then repeat: 152 / 19

Advancing to step 4:
19 can be fit into 152 8 times, resulting in a remainder of 0.
Put 8 as the next digit of the answer. 
Result so far: 268.0
The remainder is 0 after subtracting 152 from 152.
Grab the next digit (2) from the dividend, add it to 0, then carry on: 2 / 19

On to step 5:
If we divide 2 by 19, we get 0 and a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 2680.0
Deduct 0 from 2 and we're left with 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 19

On to step 6:
When dividing 21 by 19, we get 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 26801.0
Subtracting 19 from 21 leaves us 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.

Step 7:
20 divided by 19 is 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 26801.1
Subtract 19 from 20 to 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.

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: 26801.1
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.

On to step 9:
The number 19 fits into 100 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 26801.105
If we subtract 95 from 100, we get 5.
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: 26801.1052
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.

Advancing to step 11:
19 can be fit into 120 6 times, resulting in a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 26801.10526
If we take 114 away from 120, we end up 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.

Let's proceed to step 12:
19 can be fit into 60 3 times, resulting in a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 26801.105263
If we take 57 away from 60, we end up 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 13:
30 divided by 19 is 1 with a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 26801.1052631
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.

Let's proceed to step 14:
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: 26801.10526315
Deduct 95 from 110 and we're left 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.

The quotient of the division is 26801.10526315, and the remainder is 1.5e-08.