We look at the division of 387633 by 19 
Our goal is to divide 387633 by 19.

Step 1:
19 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 19

Advancing to step 2:
When dividing 38 by 19, we get 2 with a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Deduct 38 from 38 and we're left with 0.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 19

Going ahead to step 3:
If we divide 7 by 19, we get 0 and a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 20.0
Subtracting 0 from 7 leaves us with 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 19

On to step 4:
The number 19 fits into 76 4 times, leaving a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 204.0
Subtract 76 from 76 to get 0.
Take the next digit (3) from the dividend and append it to 0, then repeat: 3 / 19

Advancing to step 5:
19 can be fit into 3 0 times, resulting in a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 2040.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 19

Let's proceed to step 6:
33 divided by 19 is 1 with a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 20401.0
If we take 19 away from 33, we end up 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.

Step 7:
19 can be fit into 140 7 times, resulting in a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 20401.7
If we take 133 away from 140, we end up 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 8:
19 goes into 70 3 times with a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 20401.73
If we take 57 away from 70, we end up 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.

Step 9:
19 goes into 130 6 times with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 20401.736
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.

Going ahead to step 10:
19 can be fit into 160 8 times, resulting in a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 20401.7368
The remainder is 8 after subtracting 152 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 11:
80 divided by 19 is 4 with a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 20401.73684
Deduct 76 from 80 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 12:
40 divided by 19 is 2 with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 20401.736842
If we take 38 away from 40, we end up 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 13:
20 divided by 19 is 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 20401.7368421
If we take 19 away from 20, we end up with 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 14:
If we divide 10 by 19, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 20401.7368421
If we subtract 0 from 10, we 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.

In conclusion, the division gives 20401.7368421 with a balance of 1e-08.