We divide 676678 by 3
The aim is to understand the frequency of 3 in 676678.

Advancing to step 1:
3 can be fit into 6 2 times, resulting in a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we subtract 6 from 6, we get 0.
Grab the next digit (7) from the dividend, add it to 0, then carry on: 7 / 3

Going ahead to step 2:
3 can be fit into 7 2 times, resulting in a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 22.0
The remainder is 1 after subtracting 6 from 7.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 3

Moving on to step 3:
The number 3 fits into 16 5 times, leaving a remainder of 1.
The next digit of our result is 5. 
Result so far: 225.0
If we take 15 away from 16, we end up with 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 3

Let's proceed to step 4:
3 can be fit into 16 5 times, resulting in a remainder of 1.
The next digit of our result is 5. 
Result so far: 2255.0
Deduct 15 from 16 and we're left with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 3

Moving on to step 5:
3 goes into 17 5 times with a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 22555.0
Subtract 15 from 17 to get 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 3

Advancing to step 6:
The number 3 fits into 28 9 times, leaving a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 225559.0
Subtracting 27 from 28 leaves us 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.

Advancing to step 7:
If we divide 10 by 3, we get 3 and a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 225559.3
Subtracting 9 from 10 leaves us 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.
The next digit of our result is 3. 
Result so far: 225559.33
Subtracting 9 from 10 leaves us 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.

Our division results in 225559.33 with a remaining 0.001.