633436 divided by 9 
We want to divide 633436 by 9.

Going ahead to step 1:
When dividing 6 by 9, 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 subtract 0 from 6, we get 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 9

Going ahead to step 2:
The number 9 fits into 63 7 times, leaving a remainder of 0.
Use 7 as the next digit of our solution. 
Result so far: 7.0
The remainder is 0 after subtracting 63 from 63.
Take the next digit (3) from the dividend and append it to 0, then repeat: 3 / 9

On to step 3:
When dividing 3 by 9, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 70.0
If we subtract 0 from 3, we get 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 9

Let's proceed to step 4:
9 goes into 34 3 times with a remainder of 7.
The next digit of our result is 3. 
Result so far: 703.0
Deduct 27 from 34 and we're left with 7.
Take the next digit (3) from the dividend and append it to 7, then repeat: 73 / 9

Advancing to step 5:
When dividing 73 by 9, we get 8 with a remainder of 1.
Write down 8 as next digit of the result. 
Result so far: 7038.0
If we subtract 72 from 73, we get 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 9

On to step 6:
9 can be fit into 16 1 times, resulting in a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 70381.0
The remainder is 7 after subtracting 9 from 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
70 divided by 9 is 7 with a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 70381.7
If we subtract 63 from 70, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 8:
The number 9 fits into 70 7 times, leaving a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 70381.77
If we take 63 away from 70, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final result is 70381.77 with a remainder of 0.007.