415601 divided by 79 
We're looking to find how many times 79 goes into 415601.

Going ahead to step 1:
79 can be fit into 4 0 times, resulting in 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 (1) from the dividend after 4, then repeat: 41 / 79

Going ahead to step 2:
If we divide 41 by 79, we get 0 and a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Take the next digit (5) from the dividend and append it to 41, then repeat: 415 / 79

Let's proceed to step 3:
The number 79 fits into 415 5 times, leaving a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we take 395 away from 415, we end up with 20.
Grab the next digit (6) from the dividend, add it to 20, then carry on: 206 / 79

Advancing to step 4:
79 goes into 206 2 times with a remainder of 48.
The number 2 becomes the next digit in our result. 
Result so far: 52.0
Subtracting 158 from 206 leaves us with 48.
Take the next digit (0) from the dividend and append it to 48, then repeat: 480 / 79

On to step 5:
If we divide 480 by 79, we get 6 and a remainder of 6.
The next digit of our result is 6. 
Result so far: 526.0
The remainder is 6 after subtracting 474 from 480.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 79

Let's proceed to step 6:
79 can be fit into 61 0 times, resulting in a remainder of 61.
The next digit of our result is 0. 
Result so far: 5260.0
Subtracting 0 from 61 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.

Moving on to step 7:
79 goes into 610 7 times with a remainder of 57.
The number 7 becomes the next digit in our result. 
Result so far: 5260.7
Subtracting 553 from 610 leaves us with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

On to step 8:
570 divided by 79 is 7 with a remainder of 17.
Record the quotient 7 as the next digit in the result. 
Result so far: 5260.77
Subtract 553 from 570 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Our division results in 5260.77 with a remaining 0.017.