We look at the division of 980113 by 2 
The aim is to understand the frequency of 2 in 980113.

Advancing to step 1:
When dividing 9 by 2, we get 4 with a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
The remainder is 1 after subtracting 8 from 9.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 2

Step 2:
If we divide 18 by 2, we get 9 and a remainder of 0.
Put 9 as the next digit of the answer. 
Result so far: 49.0
If we take 18 away from 18, we end up with 0.
Take the next digit (0) from the dividend and append it to 0, then repeat: 0 / 2

Let's proceed to step 3:
If we divide 0 by 2, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 490.0
If we take 0 away from 0, we end up with 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 2

Moving on to step 4:
The number 2 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 4900.0
If we subtract 0 from 1, we get 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 2

On to step 5:
2 goes into 11 5 times with a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 49005.0
The remainder is 1 after subtracting 10 from 11.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 2

Moving on to step 6:
2 can be fit into 13 6 times, resulting in a remainder of 1.
The next digit of our result is 6. 
Result so far: 490056.0
Subtract 12 from 13 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.

Step 7:
2 can be fit into 10 5 times, resulting in a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 490056.5
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.

On to step 8:
2 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 490056.5
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.

On to step 9:
When dividing 0 by 2, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 490056.5
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 490056.5, and the remainder is 0.0.