We look at the division of 814013 by 6 
We're looking to find how many times 6 goes into 814013.

Going ahead to step 1:
8 divided by 6 is 1 with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 6 from 8 to get 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 6

Going ahead to step 2:
The number 6 fits into 21 3 times, leaving a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
If we subtract 18 from 21, we get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 6

Advancing to step 3:
34 divided by 6 is 5 with a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 135.0
If we subtract 30 from 34, we get 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 6

Going ahead to step 4:
6 goes into 40 6 times with a remainder of 4.
The next digit of our result is 6. 
Result so far: 1356.0
If we subtract 36 from 40, we get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 6

Moving on to step 5:
6 can be fit into 41 6 times, resulting in a remainder of 5.
Put 6 as the next digit of the answer. 
Result so far: 13566.0
Deduct 36 from 41 and we're left with 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 6

On to step 6:
6 goes into 53 8 times with a remainder of 5.
The number 8 becomes the next digit in our result. 
Result so far: 135668.0
Subtract 48 from 53 to 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.

On to step 7:
50 divided by 6 is 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 135668.8
Subtracting 48 from 50 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.

On to step 8:
If we divide 20 by 6, we get 3 and a remainder of 2.
The next digit of our result is 3. 
Result so far: 135668.83
Deduct 18 from 20 and we're left 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.

Going ahead to step 9:
6 can be fit into 20 3 times, resulting in a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 135668.833
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final outcome is 135668.833, with a leftover of 0.0002.