We look at the division of 809797 by 13 
We're looking to find how many times 13 goes into 809797.

Advancing to step 1:
If we divide 8 by 13, we get 0 and a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Include the next digit (0) from the dividend after 8, then repeat: 80 / 13

Advancing to step 2:
13 goes into 80 6 times with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Deduct 78 from 80 and we're left with 2.
Include the next digit (9) from the dividend after 2, then repeat: 29 / 13

Advancing to step 3:
If we divide 29 by 13, we get 2 and a remainder of 3.
The next digit of our result is 2. 
Result so far: 62.0
Subtracting 26 from 29 leaves us with 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 13

Let's proceed to step 4:
13 can be fit into 37 2 times, resulting in a remainder of 11.
The number 2 becomes the next digit in our result. 
Result so far: 622.0
Deduct 26 from 37 and we're left with 11.
Append the next digit (9) from the dividend to 11 and continue with: 119 / 13

Advancing to step 5:
119 divided by 13 is 9 with a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 6229.0
The remainder is 2 after subtracting 117 from 119.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 13

Moving on to step 6:
13 can be fit into 27 2 times, resulting in a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 62292.0
The remainder is 1 after subtracting 26 from 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
10 divided by 13 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 62292.0
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
100 divided by 13 is 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 62292.07
If we subtract 91 from 100, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 9:
When dividing 90 by 13, we get 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 62292.076
Subtracting 78 from 90 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 10:
120 divided by 13 is 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 62292.0769
Subtract 117 from 120 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 11:
13 goes into 30 2 times with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 62292.07692
Subtracting 26 from 30 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 12:
When dividing 40 by 13, we get 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 62292.076923
Deduct 39 from 40 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 13:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 62292.076923
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 14:
13 goes into 100 7 times with a remainder of 9.
The next digit of our result is 7. 
Result so far: 62292.07692307
Subtracting 91 from 100 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The final result is 62292.07692307 with a remainder of 9e-09.