557935 ÷ 3 
We want to figure out the number of times 557935 can be divided by 3.

On to step 1:
3 can be fit into 5 1 times, resulting in a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 3 from 5 leaves us with 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 3

Moving on to step 2:
If we divide 25 by 3, we get 8 and a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 18.0
The remainder is 1 after subtracting 24 from 25.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 3

Advancing to step 3:
The number 3 fits into 17 5 times, leaving a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 185.0
If we subtract 15 from 17, we get 2.
Include the next digit (9) from the dividend after 2, then repeat: 29 / 3

On to step 4:
The number 3 fits into 29 9 times, leaving a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 1859.0
Subtracting 27 from 29 leaves us with 2.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 3

On to step 5:
23 divided by 3 is 7 with a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 18597.0
If we take 21 away from 23, we end up with 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 3

Going ahead to step 6:
3 can be fit into 25 8 times, resulting in a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 185978.0
Subtracting 24 from 25 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.

On to step 7:
When dividing 10 by 3, we get 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 185978.3
Subtracting 9 from 10 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.

Let's proceed to step 8:
When dividing 10 by 3, we get 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 185978.33
Subtract 9 from 10 to get 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 185978.33 with a balance of 0.001.