We're dividing 636039 by 9 
Let's see how many times 9 fits into 636039.

Advancing to step 1:
If we divide 6 by 9, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 9

Moving on to step 2:
63 divided by 9 is 7 with a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we subtract 63 from 63, we get 0.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 9

On to step 3:
9 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 70.0
Subtract 0 from 6 to get 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 9

On to step 4:
9 can be fit into 60 6 times, resulting in a remainder of 6.
The next digit of our result is 6. 
Result so far: 706.0
If we subtract 54 from 60, we get 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 9

On to step 5:
If we divide 63 by 9, we get 7 and a remainder of 0.
Use 7 as the next digit of our solution. 
Result so far: 7067.0
If we take 63 away from 63, we end up with 0.
Include the next digit (9) from the dividend after 0, then repeat: 9 / 9

On to step 6:
The number 9 fits into 9 1 times, leaving a remainder of 0.
The next digit of our result is 1. 
Result so far: 70671.0
The remainder is 0 after subtracting 9 from 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 7:
0 divided by 9 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 70671.0
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
9 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 70671.0
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 70671.0 with a balance of 0.0.