We look at the division of 813829 by 3 
The aim is to understand the frequency of 3 in 813829.

Advancing to step 1:
If we divide 8 by 3, we get 2 and a remainder of 2.
The next digit of our result is 2. 
Result so far: 2.0
If we take 6 away from 8, we end up with 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 3

Step 2:
21 divided by 3 is 7 with a remainder of 0.
The next digit of our result is 7. 
Result so far: 27.0
If we subtract 21 from 21, we get 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 3

Let's proceed to step 3:
When dividing 3 by 3, we get 1 with a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 271.0
Subtracting 3 from 3 leaves us with 0.
Append the next digit (8) from the dividend to 0 and continue with: 8 / 3

Step 4:
3 can be fit into 8 2 times, resulting in a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 2712.0
If we subtract 6 from 8, we get 2.
Append the next digit (2) from the dividend to 2 and continue with: 22 / 3

Moving on to step 5:
3 goes into 22 7 times with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 27127.0
If we subtract 21 from 22, we get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 3

Advancing to step 6:
19 divided by 3 is 6 with a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 271276.0
If we take 18 away from 19, we end up 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.

On to step 7:
If we divide 10 by 3, we get 3 and a remainder of 1.
The next digit of our result is 3. 
Result so far: 271276.3
If we take 9 away from 10, we end up 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.

On to step 8:
10 divided by 3 is 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 271276.33
Subtract 9 from 10 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.

Our division results in 271276.33 with a remaining 0.001.