We divide 636872 by 15
We want to figure out the number of times 636872 can be divided by 15.

Moving on to step 1:
If we divide 6 by 15, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 15

Advancing to step 2:
If we divide 63 by 15, we get 4 and a remainder of 3.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Deduct 60 from 63 and we're left with 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 15

Let's proceed to step 3:
15 can be fit into 36 2 times, resulting in a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 42.0
The remainder is 6 after subtracting 30 from 36.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 15

Going ahead to step 4:
15 can be fit into 68 4 times, resulting in a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 424.0
The remainder is 8 after subtracting 60 from 68.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 15

Let's proceed to step 5:
15 goes into 87 5 times with a remainder of 12.
Record the quotient 5 as the next digit in the result. 
Result so far: 4245.0
Subtract 75 from 87 to get 12.
Take the next digit (2) from the dividend and append it to 12, then repeat: 122 / 15

Moving on to step 6:
The number 15 fits into 122 8 times, leaving a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 42458.0
Subtract 120 from 122 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
The number 15 fits into 20 1 times, leaving a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 42458.1
Subtract 15 from 20 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.

Advancing to step 8:
If we divide 50 by 15, we get 3 and a remainder of 5.
The next digit of our result is 3. 
Result so far: 42458.13
Deduct 45 from 50 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 9:
50 divided by 15 is 3 with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 42458.133
Deduct 45 from 50 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Our division results in 42458.133 with a remaining 0.0005.