313256 ÷ 3 
The aim is to understand the frequency of 3 in 313256.

Advancing to step 1:
If we divide 3 by 3, we get 1 and a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 3 from 3 leaves us with 0.
Fetch the next digit (1) from the dividend, attach it to 0 and continue: 1 / 3

Moving on to step 2:
When dividing 1 by 3, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 3

On to step 3:
If we divide 13 by 3, we get 4 and a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 104.0
Subtracting 12 from 13 leaves us with 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 3

Step 4:
The number 3 fits into 12 4 times, leaving a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 1044.0
Subtract 12 from 12 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 3

Advancing to step 5:
If we divide 5 by 3, we get 1 and a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 10441.0
Subtracting 3 from 5 leaves us with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 3

On to step 6:
3 can be fit into 26 8 times, resulting in a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 104418.0
Subtracting 24 from 26 leaves us 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.

Moving on to step 7:
3 can be fit into 20 6 times, resulting in a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 104418.6
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
When dividing 20 by 3, we get 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 104418.66
If we subtract 18 from 20, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Our division results in 104418.66 with a remaining 0.002.