We look at the division of 65309 by 79 
We want to divide 65309 by 79.

Step 1:
If we divide 6 by 79, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 79

Advancing to step 2:
79 goes into 65 0 times with a remainder of 65.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 65, we get 65.
Bring next digit (3) of the dividend behind the 65 and repeat the process: 653 / 79

Advancing to step 3:
When dividing 653 by 79, we get 8 with a remainder of 21.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtract 632 from 653 to get 21.
Append the next digit (0) from the dividend to 21 and continue with: 210 / 79

Going ahead to step 4:
210 divided by 79 is 2 with a remainder of 52.
The number 2 becomes the next digit in our result. 
Result so far: 82.0
Subtracting 158 from 210 leaves us with 52.
Bring next digit (9) of the dividend behind the 52 and repeat the process: 529 / 79

Moving on to step 5:
529 divided by 79 is 6 with a remainder of 55.
The number 6 becomes the next digit in our result. 
Result so far: 826.0
Deduct 474 from 529 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 6:
When dividing 550 by 79, we get 6 with a remainder of 76.
Put 6 as the next digit of the answer. 
Result so far: 826.6
The remainder is 76 after subtracting 474 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Advancing to step 7:
760 divided by 79 is 9 with a remainder of 49.
The number 9 becomes the next digit in our result. 
Result so far: 826.69
The remainder is 49 after subtracting 711 from 760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Let's proceed to step 8:
79 can be fit into 490 6 times, resulting in a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 826.696
Subtract 474 from 490 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 9:
79 goes into 160 2 times with a remainder of 2.
The next digit of our result is 2. 
Result so far: 826.6962
Subtracting 158 from 160 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 10:
79 goes into 20 0 times with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 826.6962
Subtract 0 from 20 to get 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 11:
79 can be fit into 200 2 times, resulting in a remainder of 42.
Write down 2 as next digit of the result. 
Result so far: 826.696202
Subtract 158 from 200 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 12:
420 divided by 79 is 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 826.6962025
Deduct 395 from 420 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 13:
250 divided by 79 is 3 with a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 826.69620253
If we take 237 away from 250, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

In conclusion, the division gives 826.69620253 with a balance of 1.3e-08.