We're dividing 414579 by 80 
We're looking to find how many times 80 goes into 414579.

Step 1:
80 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 80

Moving on to step 2:
The number 80 fits into 41 0 times, leaving a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Fetch the next digit (4) from the dividend, attach it to 41 and continue: 414 / 80

Step 3:
414 divided by 80 is 5 with a remainder of 14.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we take 400 away from 414, we end up with 14.
Take the next digit (5) from the dividend and append it to 14, then repeat: 145 / 80

Moving on to step 4:
145 divided by 80 is 1 with a remainder of 65.
The number 1 becomes the next digit in our result. 
Result so far: 51.0
Deduct 80 from 145 and we're left with 65.
Grab the next digit (7) from the dividend, add it to 65, then carry on: 657 / 80

On to step 5:
If we divide 657 by 80, we get 8 and a remainder of 17.
Write down 8 as next digit of the result. 
Result so far: 518.0
Subtracting 640 from 657 leaves us with 17.
Bring next digit (9) of the dividend behind the 17 and repeat the process: 179 / 80

Advancing to step 6:
If we divide 179 by 80, we get 2 and a remainder of 19.
The number 2 becomes the next digit in our result. 
Result so far: 5182.0
The remainder is 19 after subtracting 160 from 179.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 7:
80 can be fit into 190 2 times, resulting in a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 5182.2
If we subtract 160 from 190, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 8:
300 divided by 80 is 3 with a remainder of 60.
Use 3 as the next digit of our solution. 
Result so far: 5182.23
Subtract 240 from 300 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 9:
When dividing 600 by 80, we get 7 with a remainder of 40.
The number 7 becomes the next digit in our result. 
Result so far: 5182.237
The remainder is 40 after subtracting 560 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 10:
80 goes into 400 5 times with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 5182.2375
Subtract 400 from 400 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 11:
80 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 5182.2375
If we subtract 0 from 0, we 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.

Going ahead to step 12:
If we divide 0 by 80, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 5182.2375
The remainder is 0 after subtracting 0 from 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 quotient of the division is 5182.2375, and the remainder is 0.0.