We look at the division of 413127 by 75 
We want to divide 413127 by 75.

Let's proceed to step 1:
4 divided by 75 is 0 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.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 75

Let's proceed to step 2:
When dividing 41 by 75, we get 0 with a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Take the next digit (3) from the dividend and append it to 41, then repeat: 413 / 75

Going ahead to step 3:
75 goes into 413 5 times with a remainder of 38.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we take 375 away from 413, we end up with 38.
Take the next digit (1) from the dividend and append it to 38, then repeat: 381 / 75

Moving on to step 4:
When dividing 381 by 75, we get 5 with a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 55.0
If we take 375 away from 381, we end up with 6.
Take the next digit (2) from the dividend and append it to 6, then repeat: 62 / 75

Step 5:
75 goes into 62 0 times with a remainder of 62.
The next digit of our result is 0. 
Result so far: 550.0
Subtract 0 from 62 to get 62.
Append the next digit (7) from the dividend to 62 and continue with: 627 / 75

Moving on to step 6:
627 divided by 75 is 8 with a remainder of 27.
Put 8 as the next digit of the answer. 
Result so far: 5508.0
If we take 600 away from 627, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 7:
75 can be fit into 270 3 times, resulting in a remainder of 45.
The next digit of our result is 3. 
Result so far: 5508.3
The remainder is 45 after subtracting 225 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 8:
75 goes into 450 6 times with a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 5508.36
Subtract 450 from 450 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
When dividing 0 by 75, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 5508.36
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 10:
When dividing 0 by 75, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 5508.36
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 5508.36, with a leftover of 0.0.