765824 divided by 9 
Our goal is to divide 765824 by 9.

Let's proceed to step 1:
When dividing 7 by 9, we get 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 9

Let's proceed to step 2:
If we divide 76 by 9, we get 8 and a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtract 72 from 76 to get 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 9

Moving on to step 3:
45 divided by 9 is 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 85.0
Subtracting 45 from 45 leaves us with 0.
Append the next digit (8) from the dividend to 0 and continue with: 8 / 9

Step 4:
8 divided by 9 is 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 850.0
If we subtract 0 from 8, we get 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 9

Let's proceed to step 5:
If we divide 82 by 9, we get 9 and a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 8509.0
If we subtract 81 from 82, we get 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 9

Step 6:
9 goes into 14 1 times with a remainder of 5.
The next digit of our result is 1. 
Result so far: 85091.0
If we take 9 away from 14, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
The number 9 fits into 50 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 85091.5
If we subtract 45 from 50, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 8:
9 goes into 50 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 85091.55
Deduct 45 from 50 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final result is 85091.55 with a remainder of 0.005.