We're dividing 637259 by 33 
We're looking to find how many times 33 goes into 637259.

Moving on to step 1:
When dividing 6 by 33, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 33

On to step 2:
33 can be fit into 63 1 times, resulting in a remainder of 30.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 33 from 63, we get 30.
Include the next digit (7) from the dividend after 30, then repeat: 307 / 33

Step 3:
When dividing 307 by 33, we get 9 with a remainder of 10.
Use 9 as the next digit of our solution. 
Result so far: 19.0
If we subtract 297 from 307, we get 10.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 33

Step 4:
The number 33 fits into 102 3 times, leaving a remainder of 3.
The next digit of our result is 3. 
Result so far: 193.0
If we subtract 99 from 102, we get 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 33

Let's proceed to step 5:
The number 33 fits into 35 1 times, leaving a remainder of 2.
The next digit of our result is 1. 
Result so far: 1931.0
Deduct 33 from 35 and we're left with 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 33

On to step 6:
33 can be fit into 29 0 times, resulting in a remainder of 29.
Record the quotient 0 as the next digit in the result. 
Result so far: 19310.0
If we take 0 away from 29, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 7:
When dividing 290 by 33, we get 8 with a remainder of 26.
The number 8 becomes the next digit in our result. 
Result so far: 19310.8
Subtracting 264 from 290 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 8:
33 goes into 260 7 times with a remainder of 29.
Put 7 as the next digit of the answer. 
Result so far: 19310.87
If we take 231 away from 260, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 9:
When dividing 290 by 33, we get 8 with a remainder of 26.
Put 8 as the next digit of the answer. 
Result so far: 19310.878
The remainder is 26 after subtracting 264 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 10:
260 divided by 33 is 7 with a remainder of 29.
Write down 7 as next digit of the result. 
Result so far: 19310.8787
If we take 231 away from 260, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 11:
The number 33 fits into 290 8 times, leaving a remainder of 26.
Write down 8 as next digit of the result. 
Result so far: 19310.87878
Deduct 264 from 290 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 12:
When dividing 260 by 33, we get 7 with a remainder of 29.
Record the quotient 7 as the next digit in the result. 
Result so far: 19310.878787
Deduct 231 from 260 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 13:
If we divide 290 by 33, we get 8 and a remainder of 26.
Write down 8 as next digit of the result. 
Result so far: 19310.8787878
The remainder is 26 after subtracting 264 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 14:
33 can be fit into 260 7 times, resulting in a remainder of 29.
Write down 7 as next digit of the result. 
Result so far: 19310.87878787
Subtract 231 from 260 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

After the division, we end up with 19310.87878787 and a remainder of 2.9e-08.