566312 ÷ 33 
Our goal is to divide 566312 by 33.

Advancing to step 1:
If we divide 5 by 33, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 33

Let's proceed to step 2:
If we divide 56 by 33, we get 1 and a remainder of 23.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 33 from 56 to get 23.
Fetch the next digit (6) from the dividend, attach it to 23 and continue: 236 / 33

Advancing to step 3:
When dividing 236 by 33, we get 7 with a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 17.0
Deduct 231 from 236 and we're left with 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 33

Moving on to step 4:
33 goes into 53 1 times with a remainder of 20.
The next digit of our result is 1. 
Result so far: 171.0
If we take 33 away from 53, we end up with 20.
Fetch the next digit (1) from the dividend, attach it to 20 and continue: 201 / 33

Moving on to step 5:
33 goes into 201 6 times with a remainder of 3.
Use 6 as the next digit of our solution. 
Result so far: 1716.0
Deduct 198 from 201 and we're left with 3.
Append the next digit (2) from the dividend to 3 and continue with: 32 / 33

Moving on to step 6:
32 divided by 33 is 0 with a remainder of 32.
Record the quotient 0 as the next digit in the result. 
Result so far: 17160.0
Subtract 0 from 32 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 7:
The number 33 fits into 320 9 times, leaving a remainder of 23.
Record the quotient 9 as the next digit in the result. 
Result so far: 17160.9
If we take 297 away from 320, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 8:
33 can be fit into 230 6 times, resulting in a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 17160.96
Subtracting 198 from 230 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 9:
If we divide 320 by 33, we get 9 and a remainder of 23.
Write down 9 as next digit of the result. 
Result so far: 17160.969
The remainder is 23 after subtracting 297 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 10:
When dividing 230 by 33, we get 6 with a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 17160.9696
Deduct 198 from 230 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 11:
When dividing 320 by 33, we get 9 with a remainder of 23.
The number 9 becomes the next digit in our result. 
Result so far: 17160.96969
If we subtract 297 from 320, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 12:
The number 33 fits into 230 6 times, leaving a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 17160.969696
If we take 198 away from 230, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 13:
When dividing 320 by 33, we get 9 with a remainder of 23.
Write down 9 as next digit of the result. 
Result so far: 17160.9696969
Subtract 297 from 320 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 14:
When dividing 230 by 33, we get 6 with a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 17160.96969696
If we subtract 198 from 230, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final result is 17160.96969696 with a remainder of 3.2e-08.