We're dividing 682309 by 3 
The aim is to understand the frequency of 3 in 682309.

Advancing to step 1:
3 goes into 6 2 times with a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 6 from 6 and we're left with 0.
Append the next digit (8) from the dividend to 0 and continue with: 8 / 3

Moving on to step 2:
The number 3 fits into 8 2 times, leaving a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 22.0
The remainder is 2 after subtracting 6 from 8.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 3

Advancing to step 3:
22 divided by 3 is 7 with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 227.0
Deduct 21 from 22 and we're left with 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 3

Advancing to step 4:
If we divide 13 by 3, we get 4 and a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 2274.0
Subtract 12 from 13 to get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 3

Going ahead to step 5:
If we divide 10 by 3, we get 3 and a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 22743.0
If we take 9 away from 10, we end up with 1.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 3

On to step 6:
When dividing 19 by 3, we get 6 with a remainder of 1.
Write down 6 as next digit of the result. 
Result so far: 227436.0
If we subtract 18 from 19, we 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.

Step 7:
10 divided by 3 is 3 with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 227436.3
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.

Going ahead to step 8:
10 divided by 3 is 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 227436.33
Deduct 9 from 10 and we're left 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.

The final result is 227436.33 with a remainder of 0.001.