580879 divided by 45 
We want to divide 580879 by 45.

Step 1:
When dividing 5 by 45, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 45

Advancing to step 2:
45 can be fit into 58 1 times, resulting in a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 45 from 58 leaves us with 13.
Grab the next digit (0) from the dividend, add it to 13, then carry on: 130 / 45

Advancing to step 3:
When dividing 130 by 45, we get 2 with a remainder of 40.
Write down 2 as next digit of the result. 
Result so far: 12.0
If we take 90 away from 130, we end up with 40.
Fetch the next digit (8) from the dividend, attach it to 40 and continue: 408 / 45

Moving on to step 4:
If we divide 408 by 45, we get 9 and a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 129.0
If we take 405 away from 408, we end up with 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 45

Going ahead to step 5:
45 goes into 37 0 times with a remainder of 37.
Put 0 as the next digit of the answer. 
Result so far: 1290.0
Subtracting 0 from 37 leaves us with 37.
Include the next digit (9) from the dividend after 37, then repeat: 379 / 45

Moving on to step 6:
If we divide 379 by 45, we get 8 and a remainder of 19.
Write down 8 as next digit of the result. 
Result so far: 12908.0
Subtracting 360 from 379 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 7:
The number 45 fits into 190 4 times, leaving a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 12908.4
The remainder is 10 after subtracting 180 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
When dividing 100 by 45, we get 2 with a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 12908.42
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 9:
45 goes into 100 2 times with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 12908.422
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final outcome is 12908.422, with a leftover of 0.001.