We look at the division of 75781106 by 2 
The aim is to understand the frequency of 2 in 75781106.

Step 1:
When dividing 7 by 2, we get 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 3.0
The remainder is 1 after subtracting 6 from 7.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 2

Going ahead to step 2:
2 can be fit into 15 7 times, resulting in a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 37.0
The remainder is 1 after subtracting 14 from 15.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 2

Going ahead to step 3:
When dividing 17 by 2, we get 8 with a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 378.0
Subtracting 16 from 17 leaves us with 1.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 2

Let's proceed to step 4:
The number 2 fits into 18 9 times, leaving a remainder of 0.
Record the quotient 9 as the next digit in the result. 
Result so far: 3789.0
If we subtract 18 from 18, we get 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 2

Advancing to step 5:
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: 37890.0
Subtract 0 from 1 to get 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 2

On to step 6:
11 divided by 2 is 5 with a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 378905.0
Subtract 10 from 11 to get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 2

On to step 7:
When dividing 10 by 2, we get 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 3789055.0
The remainder is 0 after subtracting 10 from 10.
Append the next digit (6) from the dividend to 0 and continue with: 6 / 2

Going ahead to step 8:
6 divided by 2 is 3 with a remainder of 0.
Write down 3 as next digit of the result. 
Result so far: 37890553.0
Deduct 6 from 6 and we're left 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.

Going ahead to step 9:
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: 37890553.0
Deduct 0 from 0 and we're left 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 10:
2 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 37890553.0
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.

The quotient of the division is 37890553.0, and the remainder is 0.0.