127648 ÷ 3 
The aim is to understand the frequency of 3 in 127648.

Step 1:
When dividing 1 by 3, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 3

Step 2:
3 can be fit into 12 4 times, resulting in a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Deduct 12 from 12 and we're left with 0.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 3

Moving on to step 3:
If we divide 7 by 3, we get 2 and a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 42.0
If we take 6 away from 7, we end up with 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 3

On 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: 425.0
If we subtract 15 from 16, we get 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 3

Step 5:
3 goes into 14 4 times with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 4254.0
The remainder is 2 after subtracting 12 from 14.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 3

Step 6:
When dividing 28 by 3, we get 9 with a remainder of 1.
The next digit of our result is 9. 
Result so far: 42549.0
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.

Let's proceed to step 7:
10 divided by 3 is 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 42549.3
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.

Advancing to step 8:
3 can be fit into 10 3 times, resulting in a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 42549.33
The remainder is 1 after subtracting 9 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The quotient of the division is 42549.33, and the remainder is 0.001.