We're dividing 408401 by 15 
Our goal is to divide 408401 by 15.

Advancing to step 1:
15 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (0) from the dividend after 4, then repeat: 40 / 15

On to step 2:
The number 15 fits into 40 2 times, leaving a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtracting 30 from 40 leaves us with 10.
Fetch the next digit (8) from the dividend, attach it to 10 and continue: 108 / 15

Let's proceed to step 3:
108 divided by 15 is 7 with a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 27.0
Subtract 105 from 108 to get 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 15

Step 4:
15 can be fit into 34 2 times, resulting in a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 272.0
If we take 30 away from 34, we end up with 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 15

On to step 5:
The number 15 fits into 40 2 times, leaving a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 2722.0
Subtracting 30 from 40 leaves us with 10.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 15

On to step 6:
15 can be fit into 101 6 times, resulting in a remainder of 11.
Record the quotient 6 as the next digit in the result. 
Result so far: 27226.0
Subtracting 90 from 101 leaves us 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:
When dividing 110 by 15, we get 7 with a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 27226.7
If we take 105 away from 110, we end up 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 8:
When dividing 50 by 15, we get 3 with a remainder of 5.
The next digit of our result is 3. 
Result so far: 27226.73
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.

Step 9:
The number 15 fits into 50 3 times, leaving a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 27226.733
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.

After the division, we end up with 27226.733 and a remainder of 0.0005.