We're dividing 865823 by 13 
We're looking to find how many times 13 goes into 865823.

Advancing to step 1:
13 goes into 8 0 times with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Fetch the next digit (6) from the dividend, attach it to 8 and continue: 86 / 13

Going ahead to step 2:
13 goes into 86 6 times with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we take 78 away from 86, we end up with 8.
Include the next digit (5) from the dividend after 8, then repeat: 85 / 13

Let's proceed to step 3:
85 divided by 13 is 6 with a remainder of 7.
The next digit of our result is 6. 
Result so far: 66.0
If we subtract 78 from 85, we get 7.
Grab the next digit (8) from the dividend, add it to 7, then carry on: 78 / 13

Moving on to step 4:
13 goes into 78 6 times with a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 666.0
If we take 78 away from 78, we end up with 0.
Append the next digit (2) from the dividend to 0 and continue with: 2 / 13

Step 5:
The number 13 fits into 2 0 times, leaving a remainder of 2.
The next digit of our result is 0. 
Result so far: 6660.0
Subtracting 0 from 2 leaves us with 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 13

Going ahead to step 6:
If we divide 23 by 13, we get 1 and a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 66601.0
Subtracting 13 from 23 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
100 divided by 13 is 7 with a remainder of 9.
The next digit of our result is 7. 
Result so far: 66601.7
Subtract 91 from 100 to 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.

Advancing to step 8:
13 goes into 90 6 times with a remainder of 12.
The next digit of our result is 6. 
Result so far: 66601.76
If we subtract 78 from 90, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 9:
13 goes into 120 9 times with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 66601.769
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 10:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 66601.7692
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 11:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 66601.76923
Subtracting 39 from 40 leaves us 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.

Let's proceed to step 12:
If we divide 10 by 13, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 66601.76923
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.

Advancing to step 13:
13 goes into 100 7 times with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 66601.7692307
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.

Going ahead to step 14:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 66601.76923076
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

In conclusion, the division gives 66601.76923076 with a balance of 1.2e-08.