823109 divided by 3 
The aim is to understand the frequency of 3 in 823109.

Going ahead to step 1:
When dividing 8 by 3, we get 2 with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtract 6 from 8 to get 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 3

Moving on to step 2:
The number 3 fits into 22 7 times, leaving a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 27.0
Deduct 21 from 22 and we're left with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 3

Advancing to step 3:
13 divided by 3 is 4 with a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 274.0
Deduct 12 from 13 and we're left with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 3

Advancing to step 4:
If we divide 11 by 3, we get 3 and a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 2743.0
Subtract 9 from 11 to get 2.
Append the next digit (0) from the dividend to 2 and continue with: 20 / 3

On to step 5:
If we divide 20 by 3, we get 6 and a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 27436.0
The remainder is 2 after subtracting 18 from 20.
Fetch the next digit (9) from the dividend, attach it to 2 and continue: 29 / 3

Step 6:
3 can be fit into 29 9 times, resulting in a remainder of 2.
The next digit of our result is 9. 
Result so far: 274369.0
The remainder is 2 after subtracting 27 from 29.
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 7:
3 can be fit into 20 6 times, resulting in a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 274369.6
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.

Let's proceed to step 8:
3 goes into 20 6 times with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 274369.66
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.

The quotient of the division is 274369.66, and the remainder is 0.002.