We're dividing 765088 by 9 
Our goal is to divide 765088 by 9.

Step 1:
The number 9 fits into 7 0 times, leaving a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 9

Moving on to step 2:
The number 9 fits into 76 8 times, leaving a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtract 72 from 76 to get 4.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 9

On to step 3:
9 can be fit into 45 5 times, resulting in a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 85.0
If we subtract 45 from 45, we get 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 9

Moving on to step 4:
0 divided by 9 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 850.0
Deduct 0 from 0 and we're left with 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 9

Going ahead to step 5:
8 divided by 9 is 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 8500.0
Deduct 0 from 8 and we're left with 8.
Bring next digit (8) of the dividend behind the 8 and repeat the process: 88 / 9

Advancing to step 6:
The number 9 fits into 88 9 times, leaving a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 85009.0
The remainder is 7 after subtracting 81 from 88.
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:
When dividing 70 by 9, we get 7 with a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 85009.7
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.

Going ahead to step 8:
70 divided by 9 is 7 with a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 85009.77
Subtracting 63 from 70 leaves us 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 outcome is 85009.77, with a leftover of 0.007.