We divide 35641 by 2
The aim is to understand the frequency of 2 in 35641.

Moving on to step 1:
If we divide 3 by 2, we get 1 and a remainder of 1.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 2 from 3 leaves us with 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 2

Let's proceed to step 2:
2 goes into 15 7 times with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
Subtracting 14 from 15 leaves us with 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 2

Step 3:
When dividing 16 by 2, we get 8 with a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 178.0
If we take 16 away from 16, we end up with 0.
Take the next digit (4) from the dividend and append it to 0, then repeat: 4 / 2

Advancing to step 4:
2 can be fit into 4 2 times, resulting in a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 1782.0
Subtract 4 from 4 to get 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 2

Moving on to step 5:
The number 2 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 17820.0
Subtract 0 from 1 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.

On to step 6:
The number 2 fits into 10 5 times, leaving a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 17820.5
Deduct 10 from 10 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 7:
If we divide 0 by 2, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 17820.5
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.

Moving on to step 8:
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: 17820.5
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.

The final result is 17820.5 with a remainder of 0.0.