We're dividing 633345 by 9 
We want to divide 633345 by 9.

Going ahead to step 1:
9 can be fit into 6 0 times, resulting in 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 / 9

Let's proceed to step 2:
If we divide 63 by 9, we get 7 and a remainder of 0.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Subtracting 63 from 63 leaves us with 0.
Include the next digit (3) from the dividend after 0, then repeat: 3 / 9

Moving on to step 3:
3 divided by 9 is 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 70.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 9

Let's proceed to step 4:
9 goes into 33 3 times with a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 703.0
The remainder is 6 after subtracting 27 from 33.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 9

Moving on to step 5:
The number 9 fits into 64 7 times, leaving a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 7037.0
Subtracting 63 from 64 leaves us with 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 9

On to step 6:
When dividing 15 by 9, we get 1 with a remainder of 6.
The next digit of our result is 1. 
Result so far: 70371.0
Subtracting 9 from 15 leaves us 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.

On to step 7:
9 can be fit into 60 6 times, resulting in a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 70371.6
If we subtract 54 from 60, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 8:
The number 9 fits into 60 6 times, leaving a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 70371.66
Subtract 54 from 60 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final result is 70371.66 with a remainder of 0.006.