We divide 580639 by 45
We're looking to find how many times 45 goes into 580639.

Step 1:
45 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 45

Moving on to step 2:
The number 45 fits into 58 1 times, leaving a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 45 from 58, we get 13.
Fetch the next digit (0) from the dividend, attach it to 13 and continue: 130 / 45

Let's proceed to step 3:
The number 45 fits into 130 2 times, leaving a remainder of 40.
Use 2 as the next digit of our solution. 
Result so far: 12.0
The remainder is 40 after subtracting 90 from 130.
Take the next digit (6) from the dividend and append it to 40, then repeat: 406 / 45

Moving on to step 4:
406 divided by 45 is 9 with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 129.0
Subtract 405 from 406 to get 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 45

Advancing to step 5:
13 divided by 45 is 0 with a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 1290.0
Subtracting 0 from 13 leaves us with 13.
Fetch the next digit (9) from the dividend, attach it to 13 and continue: 139 / 45

Let's proceed to step 6:
45 can be fit into 139 3 times, resulting in a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 12903.0
Deduct 135 from 139 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
45 goes into 40 0 times with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 12903.0
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
400 divided by 45 is 8 with a remainder of 40.
Put 8 as the next digit of the answer. 
Result so far: 12903.08
The remainder is 40 after subtracting 360 from 400.
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 9:
400 divided by 45 is 8 with a remainder of 40.
Put 8 as the next digit of the answer. 
Result so far: 12903.088
Subtract 360 from 400 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

After the division, we end up with 12903.088 and a remainder of 0.004.