We look at the division of 678633 by 33 
Our goal is to divide 678633 by 33.

Going ahead to step 1:
The number 33 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 33

Let's proceed to step 2:
If we divide 67 by 33, we get 2 and a remainder of 1.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 66 from 67 and we're left with 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 33

Let's proceed to step 3:
18 divided by 33 is 0 with a remainder of 18.
The number 0 becomes the next digit in our result. 
Result so far: 20.0
The remainder is 18 after subtracting 0 from 18.
Grab the next digit (6) from the dividend, add it to 18, then carry on: 186 / 33

Moving on to step 4:
The number 33 fits into 186 5 times, leaving a remainder of 21.
Put 5 as the next digit of the answer. 
Result so far: 205.0
Subtracting 165 from 186 leaves us with 21.
Bring next digit (3) of the dividend behind the 21 and repeat the process: 213 / 33

Step 5:
213 divided by 33 is 6 with a remainder of 15.
The next digit of our result is 6. 
Result so far: 2056.0
If we take 198 away from 213, we end up with 15.
Take the next digit (3) from the dividend and append it to 15, then repeat: 153 / 33

Advancing to step 6:
The number 33 fits into 153 4 times, leaving a remainder of 21.
The number 4 becomes the next digit in our result. 
Result so far: 20564.0
Subtracting 132 from 153 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 7:
The number 33 fits into 210 6 times, leaving a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 20564.6
If we subtract 198 from 210, we 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 8:
When dividing 120 by 33, we get 3 with a remainder of 21.
The next digit of our result is 3. 
Result so far: 20564.63
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.

Moving on to step 9:
If we divide 210 by 33, we get 6 and a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 20564.636
If we take 198 away from 210, we end up 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 10:
If we divide 120 by 33, we get 3 and a remainder of 21.
Put 3 as the next digit of the answer. 
Result so far: 20564.6363
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.

Advancing to step 11:
33 can be fit into 210 6 times, resulting in a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 20564.63636
If we take 198 away from 210, we end up 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 12:
120 divided by 33 is 3 with a remainder of 21.
The next digit of our result is 3. 
Result so far: 20564.636363
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 13:
The number 33 fits into 210 6 times, leaving a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 20564.6363636
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 14:
When dividing 120 by 33, we get 3 with a remainder of 21.
Put 3 as the next digit of the answer. 
Result so far: 20564.63636363
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.

The quotient of the division is 20564.63636363, and the remainder is 2.1e-08.