381639 ÷ 19 
Our goal is to divide 381639 by 19.

On to step 1:
The number 19 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 19

Step 2:
When dividing 38 by 19, we get 2 with a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Deduct 38 from 38 and we're left with 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 19

Going ahead to step 3:
If we divide 1 by 19, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 20.0
Subtract 0 from 1 to get 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 19

Moving on to step 4:
19 goes into 16 0 times with a remainder of 16.
The number 0 becomes the next digit in our result. 
Result so far: 200.0
Subtract 0 from 16 to get 16.
Bring next digit (3) of the dividend behind the 16 and repeat the process: 163 / 19

Going ahead to step 5:
19 can be fit into 163 8 times, resulting in a remainder of 11.
Put 8 as the next digit of the answer. 
Result so far: 2008.0
If we take 152 away from 163, we end up with 11.
Fetch the next digit (9) from the dividend, attach it to 11 and continue: 119 / 19

Let's proceed to step 6:
119 divided by 19 is 6 with a remainder of 5.
Use 6 as the next digit of our solution. 
Result so far: 20086.0
Subtract 114 from 119 to 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.

On to step 7:
19 can be fit into 50 2 times, resulting in a remainder of 12.
The next digit of our result is 2. 
Result so far: 20086.2
Deduct 38 from 50 and we're left 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.

On to step 8:
120 divided by 19 is 6 with a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 20086.26
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.

Advancing to step 9:
The number 19 fits into 60 3 times, leaving a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 20086.263
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.

Let's proceed to step 10:
The number 19 fits into 30 1 times, leaving a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 20086.2631
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:
When dividing 110 by 19, we get 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 20086.26315
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.

Advancing to step 12:
When dividing 150 by 19, we get 7 with a remainder of 17.
Put 7 as the next digit of the answer. 
Result so far: 20086.263157
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 13:
170 divided by 19 is 8 with a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 20086.2631578
Subtracting 152 from 170 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 14:
19 goes into 180 9 times with a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 20086.26315789
If we take 171 away from 180, we end up 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.

Our division results in 20086.26315789 with a remaining 9e-09.