We're dividing 7509065 by 765 
We want to figure out the number of times 7509065 can be divided by 765.

Let's proceed to step 1:
When dividing 7 by 765, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 765

On to step 2:
765 can be fit into 75 0 times, resulting in a remainder of 75.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 75 and we're left with 75.
Grab the next digit (0) from the dividend, add it to 75, then carry on: 750 / 765

On to step 3:
765 can be fit into 750 0 times, resulting in a remainder of 750.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 750, we get 750.
Fetch the next digit (9) from the dividend, attach it to 750 and continue: 7509 / 765

Let's proceed to step 4:
The number 765 fits into 7509 9 times, leaving a remainder of 624.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Deduct 6885 from 7509 and we're left with 624.
Take the next digit (0) from the dividend and append it to 624, then repeat: 6240 / 765

Advancing to step 5:
When dividing 6240 by 765, we get 8 with a remainder of 120.
Put 8 as the next digit of the answer. 
Result so far: 98.0
If we take 6120 away from 6240, we end up with 120.
Fetch the next digit (6) from the dividend, attach it to 120 and continue: 1206 / 765

On to step 6:
When dividing 1206 by 765, we get 1 with a remainder of 441.
Write down 1 as next digit of the result. 
Result so far: 981.0
If we subtract 765 from 1206, we get 441.
Bring next digit (5) of the dividend behind the 441 and repeat the process: 4415 / 765

Let's proceed to step 7:
765 goes into 4415 5 times with a remainder of 590.
Put 5 as the next digit of the answer. 
Result so far: 9815.0
Deduct 3825 from 4415 and we're left with 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5900, and continue the process.

Advancing to step 8:
The number 765 fits into 5900 7 times, leaving a remainder of 545.
The number 7 becomes the next digit in our result. 
Result so far: 9815.7
Subtracting 5355 from 5900 leaves us with 545.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5450, and continue the process.

Advancing to step 9:
If we divide 5450 by 765, we get 7 and a remainder of 95.
Use 7 as the next digit of our solution. 
Result so far: 9815.77
The remainder is 95 after subtracting 5355 from 5450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

The quotient of the division is 9815.77, and the remainder is 0.095.