We look at the division of 684641 by 33 
We're looking to find how many times 33 goes into 684641.

Advancing to step 1:
When dividing 6 by 33, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (8) from the dividend, add it to 6, then carry on: 68 / 33

Going ahead to step 2:
33 goes into 68 2 times with a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we subtract 66 from 68, we get 2.
Grab the next digit (4) from the dividend, add it to 2, then carry on: 24 / 33

Advancing to step 3:
When dividing 24 by 33, we get 0 with a remainder of 24.
The number 0 becomes the next digit in our result. 
Result so far: 20.0
If we subtract 0 from 24, we get 24.
Take the next digit (6) from the dividend and append it to 24, then repeat: 246 / 33

On to step 4:
The number 33 fits into 246 7 times, leaving a remainder of 15.
Record the quotient 7 as the next digit in the result. 
Result so far: 207.0
Subtract 231 from 246 to get 15.
Take the next digit (4) from the dividend and append it to 15, then repeat: 154 / 33

Going ahead to step 5:
The number 33 fits into 154 4 times, leaving a remainder of 22.
Put 4 as the next digit of the answer. 
Result so far: 2074.0
Subtract 132 from 154 to get 22.
Take the next digit (1) from the dividend and append it to 22, then repeat: 221 / 33

On to step 6:
221 divided by 33 is 6 with a remainder of 23.
The next digit of our result is 6. 
Result so far: 20746.0
Subtracting 198 from 221 leaves us 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.

Moving on to step 7:
33 can be fit into 230 6 times, resulting in a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 20746.6
The remainder is 32 after subtracting 198 from 230.
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 8:
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: 20746.69
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.

Going ahead to step 9:
33 goes into 230 6 times with a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 20746.696
Subtract 198 from 230 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.

Advancing to step 10:
The number 33 fits into 320 9 times, leaving a remainder of 23.
The number 9 becomes the next digit in our result. 
Result so far: 20746.6969
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.

Going ahead to step 11:
230 divided by 33 is 6 with a remainder of 32.
The next digit of our result is 6. 
Result so far: 20746.69696
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.

Step 12:
33 goes into 320 9 times with a remainder of 23.
The number 9 becomes the next digit in our result. 
Result so far: 20746.696969
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 13:
33 can be fit into 230 6 times, resulting in a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 20746.6969696
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.

Step 14:
33 can be fit into 320 9 times, resulting in a remainder of 23.
The number 9 becomes the next digit in our result. 
Result so far: 20746.69696969
Subtracting 297 from 320 leaves us 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.

In conclusion, the division gives 20746.69696969 with a balance of 2.3e-08.