638965 ÷ 33 
Our goal is to divide 638965 by 33.

Step 1:
If we divide 6 by 33, we get 0 and 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.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 33

Moving on to step 2:
63 divided by 33 is 1 with a remainder of 30.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 33 away from 63, we end up with 30.
Take the next digit (8) from the dividend and append it to 30, then repeat: 308 / 33

Advancing to step 3:
The number 33 fits into 308 9 times, leaving a remainder of 11.
The next digit of our result is 9. 
Result so far: 19.0
If we subtract 297 from 308, we get 11.
Grab the next digit (9) from the dividend, add it to 11, then carry on: 119 / 33

Let's proceed to step 4:
The number 33 fits into 119 3 times, leaving a remainder of 20.
Put 3 as the next digit of the answer. 
Result so far: 193.0
The remainder is 20 after subtracting 99 from 119.
Grab the next digit (6) from the dividend, add it to 20, then carry on: 206 / 33

Going ahead to step 5:
33 goes into 206 6 times with a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 1936.0
Subtracting 198 from 206 leaves us with 8.
Bring next digit (5) of the dividend behind the 8 and repeat the process: 85 / 33

Let's proceed to step 6:
If we divide 85 by 33, we get 2 and a remainder of 19.
Use 2 as the next digit of our solution. 
Result so far: 19362.0
The remainder is 19 after subtracting 66 from 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 7:
33 goes into 190 5 times with a remainder of 25.
The next digit of our result is 5. 
Result so far: 19362.5
The remainder is 25 after subtracting 165 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 8:
33 goes into 250 7 times with a remainder of 19.
The next digit of our result is 7. 
Result so far: 19362.57
If we take 231 away from 250, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 9:
33 can be fit into 190 5 times, resulting in a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 19362.575
Subtracting 165 from 190 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 10:
33 can be fit into 250 7 times, resulting in a remainder of 19.
The number 7 becomes the next digit in our result. 
Result so far: 19362.5757
If we subtract 231 from 250, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 11:
190 divided by 33 is 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 19362.57575
The remainder is 25 after subtracting 165 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 12:
33 can be fit into 250 7 times, resulting in a remainder of 19.
The next digit of our result is 7. 
Result so far: 19362.575757
If we subtract 231 from 250, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 13:
190 divided by 33 is 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 19362.5757575
If we subtract 165 from 190, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 14:
33 goes into 250 7 times with a remainder of 19.
Use 7 as the next digit of our solution. 
Result so far: 19362.57575757
Subtract 231 from 250 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Our division results in 19362.57575757 with a remaining 1.9e-08.