We're dividing 413143 by 15 
We want to figure out the number of times 413143 can be divided by 15.

Going ahead to step 1:
15 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 15

Moving on to step 2:
If we divide 41 by 15, we get 2 and a remainder of 11.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 30 from 41 to get 11.
Include the next digit (3) from the dividend after 11, then repeat: 113 / 15

Step 3:
15 can be fit into 113 7 times, resulting in a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 27.0
Deduct 105 from 113 and we're left with 8.
Bring next digit (1) of the dividend behind the 8 and repeat the process: 81 / 15

Advancing to step 4:
15 can be fit into 81 5 times, resulting in a remainder of 6.
Use 5 as the next digit of our solution. 
Result so far: 275.0
Deduct 75 from 81 and we're left with 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 15

Advancing to step 5:
64 divided by 15 is 4 with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 2754.0
If we take 60 away from 64, we end up with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 15

Moving on to step 6:
If we divide 43 by 15, we get 2 and a remainder of 13.
Write down 2 as next digit of the result. 
Result so far: 27542.0
If we subtract 30 from 43, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 7:
15 can be fit into 130 8 times, resulting in a remainder of 10.
The next digit of our result is 8. 
Result so far: 27542.8
The remainder is 10 after subtracting 120 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
15 goes into 100 6 times with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 27542.86
Deduct 90 from 100 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 9:
15 goes into 100 6 times with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 27542.866
If we subtract 90 from 100, 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.

The final result is 27542.866 with a remainder of 0.001.