We look at the division of 836681 by 13 
We want to divide 836681 by 13.

On 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
Subtract 0 from 8 to get 8.
Fetch the next digit (3) from the dividend, attach it to 8 and continue: 83 / 13

On to step 2:
83 divided by 13 is 6 with a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 78 from 83 to get 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 13

Moving on to step 3:
The number 13 fits into 56 4 times, leaving a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 64.0
Deduct 52 from 56 and we're left with 4.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 13

On to step 4:
13 goes into 46 3 times with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 643.0
If we take 39 away from 46, we end up with 7.
Take the next digit (8) from the dividend and append it to 7, then repeat: 78 / 13

On to step 5:
When dividing 78 by 13, we get 6 with a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 6436.0
Subtracting 78 from 78 leaves us with 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 13

Advancing to step 6:
When dividing 1 by 13, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 64360.0
Subtract 0 from 1 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
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: 64360.0
If we take 0 away from 10, we end up 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.

Step 8:
13 goes into 100 7 times with a remainder of 9.
The next digit of our result is 7. 
Result so far: 64360.07
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.

Moving on to step 9:
13 goes into 90 6 times with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 64360.076
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.

Moving on to step 10:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 64360.0769
Deduct 117 from 120 and we're left with 3.
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 11:
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: 64360.07692
If we take 26 away from 30, we end up 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.

Going ahead to step 12:
40 divided by 13 is 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 64360.076923
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 13:
When dividing 10 by 13, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 64360.076923
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 14:
100 divided by 13 is 7 with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 64360.07692307
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.

The final result is 64360.07692307 with a remainder of 9e-09.