633324 divided by 9 
Our goal is to divide 633324 by 9.

On to step 1:
When dividing 6 by 9, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 9

Step 2:
9 can be fit into 63 7 times, resulting in a remainder of 0.
The next digit of our result is 7. 
Result so far: 7.0
Subtracting 63 from 63 leaves us with 0.
Append the next digit (3) from the dividend to 0 and continue with: 3 / 9

On to step 3:
If we divide 3 by 9, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 70.0
Deduct 0 from 3 and we're left with 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 9

Moving on to step 4:
The number 9 fits into 33 3 times, leaving a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 703.0
Subtracting 27 from 33 leaves us with 6.
Take the next digit (2) from the dividend and append it to 6, then repeat: 62 / 9

Going ahead to step 5:
When dividing 62 by 9, we get 6 with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 7036.0
Subtract 54 from 62 to get 8.
Include the next digit (4) from the dividend after 8, then repeat: 84 / 9

Advancing to step 6:
9 goes into 84 9 times with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 70369.0
If we subtract 81 from 84, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
If we divide 30 by 9, we get 3 and a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 70369.3
If we take 27 away from 30, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 8:
If we divide 30 by 9, we get 3 and a remainder of 3.
The next digit of our result is 3. 
Result so far: 70369.33
If we subtract 27 from 30, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final outcome is 70369.33, with a leftover of 0.003.