We're dividing 632764 by 9 
Our goal is to divide 632764 by 9.

Going ahead to step 1:
The number 9 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 9

Advancing to step 2:
When dividing 63 by 9, we get 7 with a remainder of 0.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtracting 63 from 63 leaves us with 0.
Include the next digit (2) from the dividend after 0, then repeat: 2 / 9

Let's proceed to step 3:
If we divide 2 by 9, we get 0 and a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 70.0
Subtracting 0 from 2 leaves us with 2.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 9

Moving on to step 4:
9 can be fit into 27 3 times, resulting in a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 703.0
Deduct 27 from 27 and we're left with 0.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 9

Going ahead to step 5:
If we divide 6 by 9, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 7030.0
Subtract 0 from 6 to get 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 9

Let's proceed to step 6:
64 divided by 9 is 7 with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 70307.0
Deduct 63 from 64 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
9 can be fit into 10 1 times, resulting in a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 70307.1
Subtract 9 from 10 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 8:
When dividing 10 by 9, we get 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 70307.11
The remainder is 1 after subtracting 9 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

In conclusion, the division gives 70307.11 with a balance of 0.001.