We divide 6579 by 33
We're looking to find how many times 33 goes into 6579.

Going ahead to step 1:
33 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 33

Let's proceed to step 2:
33 can be fit into 65 1 times, resulting in a remainder of 32.
The next digit of our result is 1. 
Result so far: 1.0
If we take 33 away from 65, we end up with 32.
Include the next digit (7) from the dividend after 32, then repeat: 327 / 33

On to step 3:
33 can be fit into 327 9 times, resulting in a remainder of 30.
Write down 9 as next digit of the result. 
Result so far: 19.0
If we subtract 297 from 327, we get 30.
Fetch the next digit (9) from the dividend, attach it to 30 and continue: 309 / 33

Moving on to step 4:
33 goes into 309 9 times with a remainder of 12.
Use 9 as the next digit of our solution. 
Result so far: 199.0
Subtracting 297 from 309 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 5:
33 can be fit into 120 3 times, resulting in a remainder of 21.
The next digit of our result is 3. 
Result so far: 199.3
If we subtract 99 from 120, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 6:
If we divide 210 by 33, we get 6 and a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 199.36
Subtract 198 from 210 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 7:
33 can be fit into 120 3 times, resulting in a remainder of 21.
Write down 3 as next digit of the result. 
Result so far: 199.363
If we take 99 away from 120, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 8:
When dividing 210 by 33, we get 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 199.3636
Deduct 198 from 210 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 9:
If we divide 120 by 33, we get 3 and a remainder of 21.
Record the quotient 3 as the next digit in the result. 
Result so far: 199.36363
Subtracting 99 from 120 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 10:
210 divided by 33 is 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 199.363636
Deduct 198 from 210 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 11:
33 goes into 120 3 times with a remainder of 21.
The next digit of our result is 3. 
Result so far: 199.3636363
Subtracting 99 from 120 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 12:
If we divide 210 by 33, we get 6 and a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 199.36363636
Subtract 198 from 210 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final result is 199.36363636 with a remainder of 1.2e-08.