We're dividing 261572 by 2 
The aim is to understand the frequency of 2 in 261572.

On to step 1:
2 goes into 2 1 times with a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 2 from 2 and we're left with 0.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 2

On to step 2:
The number 2 fits into 6 3 times, leaving a remainder of 0.
Use 3 as the next digit of our solution. 
Result so far: 13.0
Subtract 6 from 6 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 2

Going ahead to step 3:
2 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 130.0
If we take 0 away from 1, we end up with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 2

On to step 4:
The number 2 fits into 15 7 times, leaving a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 1307.0
If we take 14 away from 15, we end up with 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 2

Going ahead to step 5:
17 divided by 2 is 8 with a remainder of 1.
The number 8 becomes the next digit in our result. 
Result so far: 13078.0
Subtract 16 from 17 to get 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 2

Advancing to step 6:
If we divide 12 by 2, we get 6 and a remainder of 0.
Put 6 as the next digit of the answer. 
Result so far: 130786.0
The remainder is 0 after subtracting 12 from 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 7:
2 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 130786.0
Subtract 0 from 0 to 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.

Let's proceed to step 8:
0 divided by 2 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 130786.0
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.

In conclusion, the division gives 130786.0 with a balance of 0.0.