155155 ÷ 3 
The aim is to understand the frequency of 3 in 155155.

Step 1:
If we divide 1 by 3, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 3

Let's proceed to step 2:
3 can be fit into 15 5 times, resulting in a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we subtract 15 from 15, we get 0.
Append the next digit (5) from the dividend to 0 and continue with: 5 / 3

Advancing to step 3:
5 divided by 3 is 1 with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 51.0
Subtracting 3 from 5 leaves us with 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 3

Moving on to step 4:
The number 3 fits into 21 7 times, leaving a remainder of 0.
Use 7 as the next digit of our solution. 
Result so far: 517.0
The remainder is 0 after subtracting 21 from 21.
Fetch the next digit (5) from the dividend, attach it to 0 and continue: 5 / 3

Going ahead to step 5:
The number 3 fits into 5 1 times, leaving a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 5171.0
Subtract 3 from 5 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 3

Advancing to step 6:
25 divided by 3 is 8 with a remainder of 1.
The next digit of our result is 8. 
Result so far: 51718.0
The remainder is 1 after subtracting 24 from 25.
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.
The next digit of our result is 3. 
Result so far: 51718.3
Subtract 9 from 10 to 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.

Going ahead to step 8:
3 can be fit into 10 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 51718.33
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.

The final result is 51718.33 with a remainder of 0.001.