564409 divided by 80 
Our goal is to divide 564409 by 80.

Going ahead to step 1:
When dividing 5 by 80, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 80

Going ahead to step 2:
When dividing 56 by 80, we get 0 with a remainder of 56.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 56 leaves us with 56.
Grab the next digit (4) from the dividend, add it to 56, then carry on: 564 / 80

Step 3:
564 divided by 80 is 7 with a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtracting 560 from 564 leaves us with 4.
Include the next digit (4) from the dividend after 4, then repeat: 44 / 80

Moving on to step 4:
80 goes into 44 0 times with a remainder of 44.
Record the quotient 0 as the next digit in the result. 
Result so far: 70.0
If we subtract 0 from 44, we get 44.
Grab the next digit (0) from the dividend, add it to 44, then carry on: 440 / 80

Advancing to step 5:
If we divide 440 by 80, we get 5 and a remainder of 40.
Record the quotient 5 as the next digit in the result. 
Result so far: 705.0
If we take 400 away from 440, we end up with 40.
Take the next digit (9) from the dividend and append it to 40, then repeat: 409 / 80

Going ahead to step 6:
When dividing 409 by 80, we get 5 with a remainder of 9.
Put 5 as the next digit of the answer. 
Result so far: 7055.0
If we take 400 away from 409, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 7:
When dividing 90 by 80, we get 1 with a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 7055.1
Subtract 80 from 90 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
80 goes into 100 1 times with a remainder of 20.
The number 1 becomes the next digit in our result. 
Result so far: 7055.11
If we take 80 away from 100, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 7055.11 and a remainder of 0.02.