386909 ÷ 19 
We're looking to find how many times 19 goes into 386909.

Step 1:
If we divide 3 by 19, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 19

Going ahead to step 2:
38 divided by 19 is 2 with a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 38 away from 38, we end up with 0.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 19

Advancing to step 3:
When dividing 6 by 19, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 20.0
Subtract 0 from 6 to get 6.
Include the next digit (9) from the dividend after 6, then repeat: 69 / 19

On to step 4:
If we divide 69 by 19, we get 3 and a remainder of 12.
The next digit of our result is 3. 
Result so far: 203.0
The remainder is 12 after subtracting 57 from 69.
Grab the next digit (0) from the dividend, add it to 12, then carry on: 120 / 19

Moving on to step 5:
19 can be fit into 120 6 times, resulting in a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 2036.0
Subtract 114 from 120 to get 6.
Include the next digit (9) from the dividend after 6, then repeat: 69 / 19

Let's proceed to step 6:
19 goes into 69 3 times with a remainder of 12.
The number 3 becomes the next digit in our result. 
Result so far: 20363.0
Deduct 57 from 69 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.

Step 7:
The number 19 fits into 120 6 times, leaving a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 20363.6
The remainder is 6 after subtracting 114 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 8:
The number 19 fits into 60 3 times, leaving a remainder of 3.
The next digit of our result is 3. 
Result so far: 20363.63
Deduct 57 from 60 and we're left 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.

On to step 9:
If we divide 30 by 19, we get 1 and a remainder of 11.
The next digit of our result is 1. 
Result so far: 20363.631
Subtract 19 from 30 to 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.

Going ahead to step 10:
The number 19 fits into 110 5 times, leaving a remainder of 15.
The next digit of our result is 5. 
Result so far: 20363.6315
If we subtract 95 from 110, we 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.

Advancing to step 11:
19 can be fit into 150 7 times, resulting in a remainder of 17.
Put 7 as the next digit of the answer. 
Result so far: 20363.63157
If we subtract 133 from 150, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 12:
The number 19 fits into 170 8 times, leaving a remainder of 18.
Use 8 as the next digit of our solution. 
Result so far: 20363.631578
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 13:
180 divided by 19 is 9 with a remainder of 9.
The next digit of our result is 9. 
Result so far: 20363.6315789
Deduct 171 from 180 and we're left 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.

Advancing to step 14:
19 goes into 90 4 times with a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 20363.63157894
Subtract 76 from 90 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

In conclusion, the division gives 20363.63157894 with a balance of 1.4e-08.