We're dividing 335399 by 19 
Our goal is to divide 335399 by 19.

Advancing to step 1:
The number 19 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 19

Advancing to step 2:
If we divide 33 by 19, we get 1 and a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 19 from 33, we get 14.
Include the next digit (5) from the dividend after 14, then repeat: 145 / 19

Going ahead to step 3:
145 divided by 19 is 7 with a remainder of 12.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
Subtract 133 from 145 to get 12.
Bring next digit (3) of the dividend behind the 12 and repeat the process: 123 / 19

Step 4:
When dividing 123 by 19, we get 6 with a remainder of 9.
Put 6 as the next digit of the answer. 
Result so far: 176.0
If we take 114 away from 123, we end up with 9.
Take the next digit (9) from the dividend and append it to 9, then repeat: 99 / 19

Let's proceed to step 5:
When dividing 99 by 19, we get 5 with a remainder of 4.
Record the quotient 5 as the next digit in the result. 
Result so far: 1765.0
Subtracting 95 from 99 leaves us with 4.
Take the next digit (9) from the dividend and append it to 4, then repeat: 49 / 19

Going ahead to step 6:
When dividing 49 by 19, we get 2 with a remainder of 11.
The next digit of our result is 2. 
Result so far: 17652.0
If we take 38 away from 49, 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.

Advancing to step 7:
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: 17652.5
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.

Going ahead to step 8:
19 can be fit into 150 7 times, resulting in a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 17652.57
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 9:
The number 19 fits into 170 8 times, leaving a remainder of 18.
Put 8 as the next digit of the answer. 
Result so far: 17652.578
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.

Step 10:
19 goes into 180 9 times with a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 17652.5789
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.

Advancing to step 11:
19 can be fit into 90 4 times, resulting in a remainder of 14.
The next digit of our result is 4. 
Result so far: 17652.57894
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.

On to step 12:
If we divide 140 by 19, we get 7 and a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 17652.578947
Deduct 133 from 140 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 13:
The number 19 fits into 70 3 times, leaving a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 17652.5789473
Subtracting 57 from 70 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 14:
130 divided by 19 is 6 with a remainder of 16.
The next digit of our result is 6. 
Result so far: 17652.57894736
Subtracting 114 from 130 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final result is 17652.57894736 with a remainder of 1.6e-08.