559105 ÷ 33 
We want to divide 559105 by 33.

Going ahead to step 1:
5 divided by 33 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 33

Step 2:
33 goes into 55 1 times with a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 33 from 55 and we're left with 22.
Append the next digit (9) from the dividend to 22 and continue with: 229 / 33

Step 3:
33 can be fit into 229 6 times, resulting in a remainder of 31.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
Deduct 198 from 229 and we're left with 31.
Fetch the next digit (1) from the dividend, attach it to 31 and continue: 311 / 33

Step 4:
When dividing 311 by 33, we get 9 with a remainder of 14.
The next digit of our result is 9. 
Result so far: 169.0
If we subtract 297 from 311, we get 14.
Grab the next digit (0) from the dividend, add it to 14, then carry on: 140 / 33

On to step 5:
The number 33 fits into 140 4 times, leaving a remainder of 8.
The next digit of our result is 4. 
Result so far: 1694.0
If we take 132 away from 140, we end up with 8.
Take the next digit (5) from the dividend and append it to 8, then repeat: 85 / 33

Moving on to step 6:
33 can be fit into 85 2 times, resulting in a remainder of 19.
The next digit of our result is 2. 
Result so far: 16942.0
If we take 66 away from 85, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 7:
33 can be fit into 190 5 times, resulting in a remainder of 25.
The next digit of our result is 5. 
Result so far: 16942.5
The remainder is 25 after subtracting 165 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 8:
When dividing 250 by 33, we get 7 with a remainder of 19.
The next digit of our result is 7. 
Result so far: 16942.57
Deduct 231 from 250 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 9:
33 goes into 190 5 times with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 16942.575
Deduct 165 from 190 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 10:
If we divide 250 by 33, we get 7 and a remainder of 19.
The number 7 becomes the next digit in our result. 
Result so far: 16942.5757
Subtracting 231 from 250 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 11:
33 goes into 190 5 times with a remainder of 25.
The next digit of our result is 5. 
Result so far: 16942.57575
The remainder is 25 after subtracting 165 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 12:
250 divided by 33 is 7 with a remainder of 19.
Use 7 as the next digit of our solution. 
Result so far: 16942.575757
Deduct 231 from 250 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 13:
190 divided by 33 is 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 16942.5757575
Subtract 165 from 190 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 14:
33 goes into 250 7 times with a remainder of 19.
The next digit of our result is 7. 
Result so far: 16942.57575757
Subtracting 231 from 250 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

In conclusion, the division gives 16942.57575757 with a balance of 1.9e-08.