We divide 580662 by 4
We want to divide 580662 by 4.

Step 1:
4 goes into 5 1 times with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 4 away from 5, we end up with 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 4

Let's proceed to step 2:
4 goes into 18 4 times with a remainder of 2.
The next digit of our result is 4. 
Result so far: 14.0
If we subtract 16 from 18, we get 2.
Grab the next digit (0) from the dividend, add it to 2, then carry on: 20 / 4

Step 3:
If we divide 20 by 4, we get 5 and a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 145.0
If we subtract 20 from 20, we get 0.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 4

Step 4:
The number 4 fits into 6 1 times, leaving a remainder of 2.
The next digit of our result is 1. 
Result so far: 1451.0
If we subtract 4 from 6, we get 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 4

On to step 5:
26 divided by 4 is 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 14516.0
If we subtract 24 from 26, we get 2.
Take the next digit (2) from the dividend and append it to 2, then repeat: 22 / 4

Let's proceed to step 6:
4 can be fit into 22 5 times, resulting in a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 145165.0
If we subtract 20 from 22, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
The number 4 fits into 20 5 times, leaving a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 145165.5
Deduct 20 from 20 and we're left 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.

Advancing to step 8:
When dividing 0 by 4, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 145165.5
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.

Let's proceed to step 9:
4 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 145165.5
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.

In conclusion, the division gives 145165.5 with a balance of 0.0.