We look at the division of 766820 by 65 
Our goal is to divide 766820 by 65.

Advancing to step 1:
65 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 65

On to step 2:
65 goes into 76 1 times with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 65 from 76 to get 11.
Take the next digit (6) from the dividend and append it to 11, then repeat: 116 / 65

Moving on to step 3:
If we divide 116 by 65, we get 1 and a remainder of 51.
The next digit of our result is 1. 
Result so far: 11.0
Subtract 65 from 116 to get 51.
Append the next digit (8) from the dividend to 51 and continue with: 518 / 65

Moving on to step 4:
65 goes into 518 7 times with a remainder of 63.
Use 7 as the next digit of our solution. 
Result so far: 117.0
If we take 455 away from 518, we end up with 63.
Append the next digit (2) from the dividend to 63 and continue with: 632 / 65

Step 5:
65 goes into 632 9 times with a remainder of 47.
Record the quotient 9 as the next digit in the result. 
Result so far: 1179.0
If we take 585 away from 632, we end up with 47.
Take the next digit (0) from the dividend and append it to 47, then repeat: 470 / 65

Step 6:
65 can be fit into 470 7 times, resulting in a remainder of 15.
Write down 7 as next digit of the result. 
Result so far: 11797.0
The remainder is 15 after subtracting 455 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 7:
When dividing 150 by 65, we get 2 with a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 11797.2
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.

Step 8:
200 divided by 65 is 3 with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 11797.23
If we subtract 195 from 200, 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.

Let's proceed to step 9:
65 goes into 50 0 times with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 11797.23
Subtracting 0 from 50 leaves us 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.

Advancing to step 10:
If we divide 500 by 65, we get 7 and a remainder of 45.
The number 7 becomes the next digit in our result. 
Result so far: 11797.2307
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.

Going ahead to step 11:
The number 65 fits into 450 6 times, leaving a remainder of 60.
The next digit of our result is 6. 
Result so far: 11797.23076
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.

On to step 12:
If we divide 600 by 65, we get 9 and a remainder of 15.
The next digit of our result is 9. 
Result so far: 11797.230769
If we take 585 away from 600, we end up 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.

Step 13:
65 can be fit into 150 2 times, resulting in a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 11797.2307692
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.

Moving on to step 14:
When dividing 200 by 65, we get 3 with a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 11797.23076923
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.

In conclusion, the division gives 11797.23076923 with a balance of 5e-09.