We're dividing 41575 by 14 
We want to figure out the number of times 41575 can be divided by 14.

Going ahead to step 1:
If we divide 4 by 14, we get 0 and a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 14

Advancing to step 2:
14 can be fit into 41 2 times, resulting in a remainder of 13.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 28 away from 41, we end up with 13.
Append the next digit (5) from the dividend to 13 and continue with: 135 / 14

Going ahead to step 3:
14 can be fit into 135 9 times, resulting in a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 29.0
If we subtract 126 from 135, we get 9.
Take the next digit (7) from the dividend and append it to 9, then repeat: 97 / 14

Moving on to step 4:
The number 14 fits into 97 6 times, leaving a remainder of 13.
Put 6 as the next digit of the answer. 
Result so far: 296.0
Subtract 84 from 97 to get 13.
Append the next digit (5) from the dividend to 13 and continue with: 135 / 14

On to step 5:
135 divided by 14 is 9 with a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 2969.0
The remainder is 9 after subtracting 126 from 135.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 6:
14 goes into 90 6 times with a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 2969.6
If we subtract 84 from 90, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 7:
The number 14 fits into 60 4 times, leaving a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 2969.64
If we subtract 56 from 60, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
The number 14 fits into 40 2 times, leaving a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 2969.642
Subtract 28 from 40 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 9:
If we divide 120 by 14, we get 8 and a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 2969.6428
Deduct 112 from 120 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 10:
80 divided by 14 is 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 2969.64285
If we take 70 away from 80, we end up 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.

On to step 11:
If we divide 100 by 14, we get 7 and a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 2969.642857
Subtract 98 from 100 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.

Advancing to step 12:
When dividing 20 by 14, we get 1 with a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 2969.6428571
If we subtract 14 from 20, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 13:
If we divide 60 by 14, we get 4 and a remainder of 4.
The next digit of our result is 4. 
Result so far: 2969.64285714
The remainder is 4 after subtracting 56 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 2969.64285714 with a balance of 4e-09.