Let's divide 100135 by 2
The aim is to understand the frequency of 2 in 100135.

On to step 1:
2 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 2

On to step 2:
2 goes into 10 5 times with a remainder of 0.
The next digit of our result is 5. 
Result so far: 5.0
If we subtract 10 from 10, we get 0.
Take the next digit (0) from the dividend and append it to 0, then repeat: 0 / 2

Going ahead to step 3:
The number 2 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 50.0
Subtracting 0 from 0 leaves us with 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 2

Moving on to step 4:
If we divide 1 by 2, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 500.0
Subtract 0 from 1 to get 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 2

Advancing to step 5:
If we divide 13 by 2, we get 6 and a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 5006.0
Deduct 12 from 13 and we're left with 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 2

Let's proceed to step 6:
When dividing 15 by 2, we get 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 50067.0
The remainder is 1 after subtracting 14 from 15.
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:
When dividing 10 by 2, we get 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 50067.5
If we take 10 away from 10, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
The number 2 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 50067.5
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 9:
2 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 50067.5
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 50067.5 with a balance of 0.0.