We look at the division of 37438033 by 2 
The aim is to understand the frequency of 2 in 37438033.

Going ahead to step 1:
When dividing 3 by 2, we get 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 2 from 3 to get 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 2

Advancing to step 2:
2 goes into 17 8 times with a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 18.0
If we subtract 16 from 17, we get 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 2

On to step 3:
If we divide 14 by 2, we get 7 and a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 187.0
Subtract 14 from 14 to get 0.
Take the next digit (3) from the dividend and append it to 0, then repeat: 3 / 2

Let's proceed to step 4:
When dividing 3 by 2, we get 1 with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1871.0
If we take 2 away from 3, we end up with 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 2

Going ahead to step 5:
2 can be fit into 18 9 times, resulting in a remainder of 0.
Record the quotient 9 as the next digit in the result. 
Result so far: 18719.0
If we take 18 away from 18, we end up with 0.
Grab the next digit (0) from the dividend, add it to 0, then carry on: 0 / 2

Moving on to step 6:
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: 187190.0
If we take 0 away from 0, we end up with 0.
Include the next digit (3) from the dividend after 0, then repeat: 3 / 2

Moving on to step 7:
2 can be fit into 3 1 times, resulting in a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1871901.0
Deduct 2 from 3 and we're left with 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 2

Let's proceed to step 8:
13 divided by 2 is 6 with a remainder of 1.
The next digit of our result is 6. 
Result so far: 18719016.0
The remainder is 1 after subtracting 12 from 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 9:
When dividing 10 by 2, we get 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 18719016.5
Subtract 10 from 10 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.

On to step 10:
The number 2 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 18719016.5
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.

Going ahead to step 11:
0 divided by 2 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 18719016.5
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 18719016.5, and the remainder is 0.0.