We look at the division of 638021 by 15 
We want to figure out the number of times 638021 can be divided by 15.

Going ahead to step 1:
The number 15 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 15

Advancing to step 2:
If we divide 63 by 15, we get 4 and a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtracting 60 from 63 leaves us with 3.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 15

Let's proceed to step 3:
When dividing 38 by 15, we get 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 42.0
Subtracting 30 from 38 leaves us with 8.
Append the next digit (0) from the dividend to 8 and continue with: 80 / 15

Step 4:
The number 15 fits into 80 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 425.0
If we subtract 75 from 80, we get 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 15

Let's proceed to step 5:
When dividing 52 by 15, we get 3 with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 4253.0
Subtracting 45 from 52 leaves us with 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 15

Step 6:
When dividing 71 by 15, we get 4 with a remainder of 11.
Write down 4 as next digit of the result. 
Result so far: 42534.0
If we take 60 away from 71, 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.

Moving on to step 7:
110 divided by 15 is 7 with a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 42534.7
If we subtract 105 from 110, we 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 8:
15 can be fit into 50 3 times, resulting in a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 42534.73
If we subtract 45 from 50, we 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.

Let's proceed to step 9:
50 divided by 15 is 3 with a remainder of 5.
The next digit of our result is 3. 
Result so far: 42534.733
Subtract 45 from 50 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.

In conclusion, the division gives 42534.733 with a balance of 0.0005.