579557 divided by 33 
We want to divide 579557 by 33.

Going ahead to step 1:
If we divide 5 by 33, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 33

Moving on to step 2:
33 can be fit into 57 1 times, resulting in a remainder of 24.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 33 from 57, we get 24.
Grab the next digit (9) from the dividend, add it to 24, then carry on: 249 / 33

Step 3:
The number 33 fits into 249 7 times, leaving a remainder of 18.
Write down 7 as next digit of the result. 
Result so far: 17.0
Deduct 231 from 249 and we're left with 18.
Fetch the next digit (5) from the dividend, attach it to 18 and continue: 185 / 33

Advancing to step 4:
33 can be fit into 185 5 times, resulting in a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 175.0
Deduct 165 from 185 and we're left with 20.
Take the next digit (5) from the dividend and append it to 20, then repeat: 205 / 33

Advancing to step 5:
When dividing 205 by 33, we get 6 with a remainder of 7.
The number 6 becomes the next digit in our result. 
Result so far: 1756.0
The remainder is 7 after subtracting 198 from 205.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 33

Step 6:
If we divide 77 by 33, we get 2 and a remainder of 11.
The next digit of our result is 2. 
Result so far: 17562.0
Subtract 66 from 77 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 7:
When dividing 110 by 33, we get 3 with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 17562.3
If we subtract 99 from 110, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 8:
110 divided by 33 is 3 with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 17562.33
Deduct 99 from 110 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

In conclusion, the division gives 17562.33 with a balance of 0.011.