We look at the division of 252309 by 2 
The aim is to understand the frequency of 2 in 252309.

Let's proceed to step 1:
The number 2 fits into 2 1 times, leaving a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 2 from 2 to get 0.
Include the next digit (5) from the dividend after 0, then repeat: 5 / 2

Moving on to step 2:
When dividing 5 by 2, we get 2 with a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 12.0
If we take 4 away from 5, we end up with 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 2

Step 3:
The number 2 fits into 12 6 times, leaving a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 126.0
The remainder is 0 after subtracting 12 from 12.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 2

Moving on to step 4:
2 can be fit into 3 1 times, resulting in a remainder of 1.
The next digit of our result is 1. 
Result so far: 1261.0
Deduct 2 from 3 and we're left with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 2

Step 5:
If we divide 10 by 2, we get 5 and a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 12615.0
Subtract 10 from 10 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 2

Moving on to step 6:
When dividing 9 by 2, we get 4 with a remainder of 1.
The next digit of our result is 4. 
Result so far: 126154.0
If we take 8 away from 9, we end up 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.

Moving on to step 7:
The number 2 fits into 10 5 times, leaving a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 126154.5
Subtracting 10 from 10 leaves us 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.

Moving on to step 8:
2 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 126154.5
The remainder is 0 after subtracting 0 from 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 9:
2 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 126154.5
Subtracting 0 from 0 leaves us 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.

The quotient of the division is 126154.5, and the remainder is 0.0.