We look at the division of 408371 by 15 
Let's see how many times 15 fits into 408371.

Going ahead to step 1:
When dividing 4 by 15, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 15

On to step 2:
When dividing 40 by 15, we get 2 with a remainder of 10.
The next digit of our result is 2. 
Result so far: 2.0
Subtracting 30 from 40 leaves us with 10.
Include the next digit (8) from the dividend after 10, then repeat: 108 / 15

Advancing to step 3:
108 divided by 15 is 7 with a remainder of 3.
The next digit of our result is 7. 
Result so far: 27.0
Subtract 105 from 108 to get 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 15

Moving on to step 4:
When dividing 33 by 15, we get 2 with a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 272.0
Deduct 30 from 33 and we're left with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 15

Let's proceed to step 5:
15 can be fit into 37 2 times, resulting in a remainder of 7.
The next digit of our result is 2. 
Result so far: 2722.0
If we subtract 30 from 37, we get 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 15

Step 6:
The number 15 fits into 71 4 times, leaving a remainder of 11.
The number 4 becomes the next digit in our result. 
Result so far: 27224.0
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.

Step 7:
The number 15 fits into 110 7 times, leaving a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 27224.7
Subtracting 105 from 110 leaves us 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.

Advancing to step 8:
The number 15 fits into 50 3 times, leaving a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 27224.73
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.

On to step 9:
When dividing 50 by 15, we get 3 with a remainder of 5.
The next digit of our result is 3. 
Result so far: 27224.733
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.

Our division results in 27224.733 with a remaining 0.0005.