We look at the division of 415127 by 79 
Our goal is to divide 415127 by 79.

Moving on to step 1:
If we divide 4 by 79, we get 0 and a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 79

On to step 2:
79 can be fit into 41 0 times, resulting in a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Grab the next digit (5) from the dividend, add it to 41, then carry on: 415 / 79

Let's proceed to step 3:
415 divided by 79 is 5 with a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we take 395 away from 415, we end up with 20.
Bring next digit (1) of the dividend behind the 20 and repeat the process: 201 / 79

Going ahead to step 4:
When dividing 201 by 79, we get 2 with a remainder of 43.
The number 2 becomes the next digit in our result. 
Result so far: 52.0
Subtracting 158 from 201 leaves us with 43.
Fetch the next digit (2) from the dividend, attach it to 43 and continue: 432 / 79

Moving on to step 5:
The number 79 fits into 432 5 times, leaving a remainder of 37.
Record the quotient 5 as the next digit in the result. 
Result so far: 525.0
If we subtract 395 from 432, we get 37.
Include the next digit (7) from the dividend after 37, then repeat: 377 / 79

Advancing to step 6:
79 can be fit into 377 4 times, resulting in a remainder of 61.
Put 4 as the next digit of the answer. 
Result so far: 5254.0
Subtracting 316 from 377 leaves us with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Let's proceed to step 7:
610 divided by 79 is 7 with a remainder of 57.
Use 7 as the next digit of our solution. 
Result so far: 5254.7
If we subtract 553 from 610, we get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Advancing to step 8:
When dividing 570 by 79, we get 7 with a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 5254.77
Subtracting 553 from 570 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

The final outcome is 5254.77, with a leftover of 0.017.