We're dividing 769569 by 65 
Our goal is to divide 769569 by 65.

Step 1:
7 divided by 65 is 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 65

Let's proceed to step 2:
65 goes into 76 1 times with a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 65 from 76 leaves us with 11.
Include the next digit (9) from the dividend after 11, then repeat: 119 / 65

On to step 3:
65 can be fit into 119 1 times, resulting in a remainder of 54.
The next digit of our result is 1. 
Result so far: 11.0
If we subtract 65 from 119, we get 54.
Grab the next digit (5) from the dividend, add it to 54, then carry on: 545 / 65

Moving on to step 4:
When dividing 545 by 65, we get 8 with a remainder of 25.
The number 8 becomes the next digit in our result. 
Result so far: 118.0
Subtracting 520 from 545 leaves us with 25.
Take the next digit (6) from the dividend and append it to 25, then repeat: 256 / 65

Step 5:
65 goes into 256 3 times with a remainder of 61.
Use 3 as the next digit of our solution. 
Result so far: 1183.0
Deduct 195 from 256 and we're left with 61.
Include the next digit (9) from the dividend after 61, then repeat: 619 / 65

On to step 6:
The number 65 fits into 619 9 times, leaving a remainder of 34.
Use 9 as the next digit of our solution. 
Result so far: 11839.0
Subtracting 585 from 619 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 7:
65 goes into 340 5 times with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 11839.5
The remainder is 15 after subtracting 325 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 8:
150 divided by 65 is 2 with a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 11839.52
If we take 130 away from 150, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 9:
65 can be fit into 200 3 times, resulting in a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 11839.523
Deduct 195 from 200 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.

Advancing to step 10:
When dividing 50 by 65, we get 0 with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 11839.523
Deduct 0 from 50 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 11:
65 can be fit into 500 7 times, resulting in a remainder of 45.
Write down 7 as next digit of the result. 
Result so far: 11839.52307
Subtract 455 from 500 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 12:
If we divide 450 by 65, we get 6 and a remainder of 60.
Write down 6 as next digit of the result. 
Result so far: 11839.523076
Subtracting 390 from 450 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 13:
If we divide 600 by 65, we get 9 and a remainder of 15.
Put 9 as the next digit of the answer. 
Result so far: 11839.5230769
Subtracting 585 from 600 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 14:
The number 65 fits into 150 2 times, leaving a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 11839.52307692
The remainder is 20 after subtracting 130 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 11839.52307692 with a balance of 2e-08.