We look at the division of 319364 by 19 
Let's see how many times 19 fits into 319364.

On to step 1:
If we divide 3 by 19, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 19

Let's proceed to step 2:
When dividing 31 by 19, we get 1 with a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 19 from 31 to get 12.
Include the next digit (9) from the dividend after 12, then repeat: 129 / 19

Moving on to step 3:
19 goes into 129 6 times with a remainder of 15.
Use 6 as the next digit of our solution. 
Result so far: 16.0
If we take 114 away from 129, we end up with 15.
Include the next digit (3) from the dividend after 15, then repeat: 153 / 19

Step 4:
19 goes into 153 8 times with a remainder of 1.
Put 8 as the next digit of the answer. 
Result so far: 168.0
Subtract 152 from 153 to get 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 19

Advancing to step 5:
If we divide 16 by 19, we get 0 and a remainder of 16.
The next digit of our result is 0. 
Result so far: 1680.0
If we subtract 0 from 16, we get 16.
Include the next digit (4) from the dividend after 16, then repeat: 164 / 19

Advancing to step 6:
19 goes into 164 8 times with a remainder of 12.
The next digit of our result is 8. 
Result so far: 16808.0
If we subtract 152 from 164, 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.

Step 7:
19 goes into 120 6 times with a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 16808.6
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.

Going ahead to step 8:
When dividing 60 by 19, we get 3 with a remainder of 3.
The next digit of our result is 3. 
Result so far: 16808.63
The remainder is 3 after subtracting 57 from 60.
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 9:
The number 19 fits into 30 1 times, leaving a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 16808.631
Subtracting 19 from 30 leaves us 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.

Step 10:
19 can be fit into 110 5 times, resulting in a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 16808.6315
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.

On to step 11:
19 goes into 150 7 times with a remainder of 17.
The next digit of our result is 7. 
Result so far: 16808.63157
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.

Step 12:
170 divided by 19 is 8 with a remainder of 18.
The next digit of our result is 8. 
Result so far: 16808.631578
Subtract 152 from 170 to 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 13:
If we divide 180 by 19, we get 9 and a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 16808.6315789
If we subtract 171 from 180, we 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.

Let's proceed to step 14:
When dividing 90 by 19, we get 4 with a remainder of 14.
Write down 4 as next digit of the result. 
Result so far: 16808.63157894
The remainder is 14 after subtracting 76 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The quotient of the division is 16808.63157894, and the remainder is 1.4e-08.