41943 divided by 2 
The aim is to understand the frequency of 2 in 41943.

Let's proceed to step 1:
2 can be fit into 4 2 times, resulting in a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 4 away from 4, we end up with 0.
Fetch the next digit (1) from the dividend, attach it to 0 and continue: 1 / 2

Advancing to step 2:
2 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 20.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 2

Going ahead to step 3:
When dividing 19 by 2, we get 9 with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 209.0
The remainder is 1 after subtracting 18 from 19.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 2

Step 4:
2 can be fit into 14 7 times, resulting in a remainder of 0.
The next digit of our result is 7. 
Result so far: 2097.0
Subtract 14 from 14 to get 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 2

On to step 5:
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: 20971.0
If we take 2 away from 3, 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.

Let's proceed to step 6:
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: 20971.5
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.

Advancing to step 7:
When dividing 0 by 2, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 20971.5
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.

Step 8:
2 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 20971.5
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 final result is 20971.5 with a remainder of 0.0.