We look at the division of 769917 by 65 
We want to divide 769917 by 65.

On to step 1:
65 can be fit into 7 0 times, resulting in a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 65

Advancing to step 2:
76 divided by 65 is 1 with a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 65 from 76, we get 11.
Bring next digit (9) of the dividend behind the 11 and repeat the process: 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
The remainder is 54 after subtracting 65 from 119.
Take the next digit (9) from the dividend and append it to 54, then repeat: 549 / 65

Going ahead to step 4:
The number 65 fits into 549 8 times, leaving a remainder of 29.
The number 8 becomes the next digit in our result. 
Result so far: 118.0
Subtract 520 from 549 to get 29.
Bring next digit (1) of the dividend behind the 29 and repeat the process: 291 / 65

Step 5:
65 goes into 291 4 times with a remainder of 31.
The next digit of our result is 4. 
Result so far: 1184.0
Subtract 260 from 291 to get 31.
Append the next digit (7) from the dividend to 31 and continue with: 317 / 65

Going ahead to step 6:
If we divide 317 by 65, we get 4 and a remainder of 57.
Write down 4 as next digit of the result. 
Result so far: 11844.0
The remainder is 57 after subtracting 260 from 317.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Let's proceed to step 7:
The number 65 fits into 570 8 times, leaving a remainder of 50.
Use 8 as the next digit of our solution. 
Result so far: 11844.8
Deduct 520 from 570 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.

Moving on to step 8:
When dividing 500 by 65, we get 7 with a remainder of 45.
The next digit of our result is 7. 
Result so far: 11844.87
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.

Let's proceed to step 9:
When dividing 450 by 65, we get 6 with a remainder of 60.
Record the quotient 6 as the next digit in the result. 
Result so far: 11844.876
If we subtract 390 from 450, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 10:
65 can be fit into 600 9 times, resulting in a remainder of 15.
Put 9 as the next digit of the answer. 
Result so far: 11844.8769
If we subtract 585 from 600, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 11:
150 divided by 65 is 2 with a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 11844.87692
Subtracting 130 from 150 leaves us 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.

Let's proceed to step 12:
The number 65 fits into 200 3 times, leaving a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 11844.876923
The remainder is 5 after subtracting 195 from 200.
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 13:
65 goes into 50 0 times with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 11844.876923
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 14:
65 can be fit into 500 7 times, resulting in a remainder of 45.
The number 7 becomes the next digit in our result. 
Result so far: 11844.87692307
The remainder is 45 after subtracting 455 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

After the division, we end up with 11844.87692307 and a remainder of 4.5e-08.