813821 divided by 6 
We're looking to find how many times 6 goes into 813821.

Moving on to step 1:
If we divide 8 by 6, we get 1 and a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 6 from 8, we get 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 6

Let's proceed to step 2:
6 can be fit into 21 3 times, resulting in a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 13.0
Deduct 18 from 21 and we're left with 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 6

Moving on to step 3:
33 divided by 6 is 5 with a remainder of 3.
The next digit of our result is 5. 
Result so far: 135.0
If we take 30 away from 33, we end up with 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 6

Advancing to step 4:
When dividing 38 by 6, we get 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 1356.0
Subtract 36 from 38 to get 2.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 6

Step 5:
6 goes into 22 3 times with a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 13563.0
Subtract 18 from 22 to get 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 6

Let's proceed to step 6:
6 goes into 41 6 times with a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 135636.0
Deduct 36 from 41 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
50 divided by 6 is 8 with a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 135636.8
The remainder is 2 after subtracting 48 from 50.
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 8:
When dividing 20 by 6, we get 3 with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 135636.83
If we take 18 away from 20, we end up 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.

Let's proceed 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: 135636.833
If we take 18 away from 20, we end up 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.

The final result is 135636.833 with a remainder of 0.0002.