Let's divide 412668 by 80
We want to divide 412668 by 80.

Step 1:
If we divide 4 by 80, we get 0 and 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.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 80

Going ahead to step 2:
80 goes into 41 0 times with a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Include the next digit (2) from the dividend after 41, then repeat: 412 / 80

Let's proceed to step 3:
The number 80 fits into 412 5 times, leaving a remainder of 12.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtracting 400 from 412 leaves us with 12.
Include the next digit (6) from the dividend after 12, then repeat: 126 / 80

Advancing to step 4:
The number 80 fits into 126 1 times, leaving a remainder of 46.
The next digit of our result is 1. 
Result so far: 51.0
Deduct 80 from 126 and we're left with 46.
Include the next digit (6) from the dividend after 46, then repeat: 466 / 80

Advancing to step 5:
466 divided by 80 is 5 with a remainder of 66.
Write down 5 as next digit of the result. 
Result so far: 515.0
The remainder is 66 after subtracting 400 from 466.
Append the next digit (8) from the dividend to 66 and continue with: 668 / 80

On to step 6:
80 can be fit into 668 8 times, resulting in a remainder of 28.
Record the quotient 8 as the next digit in the result. 
Result so far: 5158.0
Subtract 640 from 668 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 7:
280 divided by 80 is 3 with a remainder of 40.
Record the quotient 3 as the next digit in the result. 
Result so far: 5158.3
If we take 240 away from 280, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 8:
400 divided by 80 is 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 5158.35
If we subtract 400 from 400, 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 9:
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: 5158.35
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.

Advancing to step 10:
0 divided by 80 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 5158.35
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.

In conclusion, the division gives 5158.35 with a balance of 0.0.