We look at the division of 555666 by 33 
Our goal is to divide 555666 by 33.

Let's proceed to step 1:
When dividing 5 by 33, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 33

Step 2:
33 can be fit into 55 1 times, resulting in a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 33 from 55 to get 22.
Include the next digit (5) from the dividend after 22, then repeat: 225 / 33

Going ahead to step 3:
225 divided by 33 is 6 with a remainder of 27.
Put 6 as the next digit of the answer. 
Result so far: 16.0
Subtracting 198 from 225 leaves us with 27.
Fetch the next digit (6) from the dividend, attach it to 27 and continue: 276 / 33

On to step 4:
If we divide 276 by 33, we get 8 and a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 168.0
If we subtract 264 from 276, we get 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 33

Moving on to step 5:
When dividing 126 by 33, we get 3 with a remainder of 27.
The next digit of our result is 3. 
Result so far: 1683.0
Subtract 99 from 126 to get 27.
Include the next digit (6) from the dividend after 27, then repeat: 276 / 33

Step 6:
When dividing 276 by 33, we get 8 with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 16838.0
Subtract 264 from 276 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.

Advancing to step 7:
120 divided by 33 is 3 with a remainder of 21.
Record the quotient 3 as the next digit in the result. 
Result so far: 16838.3
Subtract 99 from 120 to 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 8:
210 divided by 33 is 6 with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 16838.36
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.

Going ahead to step 9:
The number 33 fits into 120 3 times, leaving a remainder of 21.
Put 3 as the next digit of the answer. 
Result so far: 16838.363
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.

Going ahead to step 10:
33 goes into 210 6 times with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 16838.3636
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.

Going ahead to step 11:
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: 16838.36363
Subtract 99 from 120 to 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.

Moving on to step 12:
The number 33 fits into 210 6 times, leaving a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 16838.363636
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.

Advancing to step 13:
33 goes into 120 3 times with a remainder of 21.
The next digit of our result is 3. 
Result so far: 16838.3636363
Deduct 99 from 120 and we're left 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.

Advancing to step 14:
The number 33 fits into 210 6 times, leaving a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 16838.36363636
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.

The final result is 16838.36363636 with a remainder of 1.2e-08.