We look at the division of 580357 by 3 
Let's see how many times 3 fits into 580357.

Going ahead to step 1:
When dividing 5 by 3, we get 1 with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 3 from 5 and we're left with 2.
Fetch the next digit (8) from the dividend, attach it to 2 and continue: 28 / 3

Step 2:
3 goes into 28 9 times with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 19.0
The remainder is 1 after subtracting 27 from 28.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 3

Moving on to step 3:
If we divide 10 by 3, we get 3 and a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 193.0
Subtracting 9 from 10 leaves us with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 3

Going ahead to step 4:
3 can be fit into 13 4 times, resulting in a remainder of 1.
The next digit of our result is 4. 
Result so far: 1934.0
If we take 12 away from 13, we end up with 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 3

On to step 5:
The number 3 fits into 15 5 times, leaving a remainder of 0.
The next digit of our result is 5. 
Result so far: 19345.0
If we take 15 away from 15, we end up with 0.
Take the next digit (7) from the dividend and append it to 0, then repeat: 7 / 3

Moving on to step 6:
The number 3 fits into 7 2 times, leaving a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 193452.0
Subtracting 6 from 7 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
10 divided by 3 is 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 193452.3
If we take 9 away from 10, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 8:
3 can be fit into 10 3 times, resulting in a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 193452.33
Deduct 9 from 10 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

In conclusion, the division gives 193452.33 with a balance of 0.001.