Let's divide 635673 by 33
We're looking to find how many times 33 goes into 635673.

Moving on to step 1:
33 goes into 6 0 times with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 33

Going ahead to step 2:
If we divide 63 by 33, we get 1 and a remainder of 30.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 33 from 63 and we're left with 30.
Include the next digit (5) from the dividend after 30, then repeat: 305 / 33

Advancing to step 3:
33 goes into 305 9 times with a remainder of 8.
Put 9 as the next digit of the answer. 
Result so far: 19.0
The remainder is 8 after subtracting 297 from 305.
Take the next digit (6) from the dividend and append it to 8, then repeat: 86 / 33

Advancing to step 4:
When dividing 86 by 33, we get 2 with a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 192.0
Deduct 66 from 86 and we're left with 20.
Bring next digit (7) of the dividend behind the 20 and repeat the process: 207 / 33

On to step 5:
When dividing 207 by 33, we get 6 with a remainder of 9.
The number 6 becomes the next digit in our result. 
Result so far: 1926.0
If we take 198 away from 207, we end up with 9.
Grab the next digit (3) from the dividend, add it to 9, then carry on: 93 / 33

Step 6:
If we divide 93 by 33, we get 2 and a remainder of 27.
Use 2 as the next digit of our solution. 
Result so far: 19262.0
Subtracting 66 from 93 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 7:
If we divide 270 by 33, we get 8 and a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 19262.8
The remainder is 6 after subtracting 264 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 8:
The number 33 fits into 60 1 times, leaving a remainder of 27.
Put 1 as the next digit of the answer. 
Result so far: 19262.81
If we take 33 away from 60, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 9:
When dividing 270 by 33, we get 8 with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 19262.818
If we take 264 away from 270, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 10:
60 divided by 33 is 1 with a remainder of 27.
The next digit of our result is 1. 
Result so far: 19262.8181
If we take 33 away from 60, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 11:
33 goes into 270 8 times with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 19262.81818
If we take 264 away from 270, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 12:
33 goes into 60 1 times with a remainder of 27.
Put 1 as the next digit of the answer. 
Result so far: 19262.818181
If we subtract 33 from 60, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 13:
If we divide 270 by 33, we get 8 and a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 19262.8181818
If we take 264 away from 270, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 14:
When dividing 60 by 33, we get 1 with a remainder of 27.
The number 1 becomes the next digit in our result. 
Result so far: 19262.81818181
Deduct 33 from 60 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

After the division, we end up with 19262.81818181 and a remainder of 2.7e-08.