We're dividing 85767 by 2 
The aim is to understand the frequency of 2 in 85767.

On to step 1:
2 goes into 8 4 times with a remainder of 0.
The next digit of our result is 4. 
Result so far: 4.0
Subtract 8 from 8 to get 0.
Append the next digit (5) from the dividend to 0 and continue with: 5 / 2

Going ahead to step 2:
5 divided by 2 is 2 with a remainder of 1.
The next digit of our result is 2. 
Result so far: 42.0
If we subtract 4 from 5, we get 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 2

On to step 3:
2 goes into 17 8 times with a remainder of 1.
The next digit of our result is 8. 
Result so far: 428.0
If we subtract 16 from 17, we get 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 2

Let's proceed to step 4:
When dividing 16 by 2, we get 8 with a remainder of 0.
The next digit of our result is 8. 
Result so far: 4288.0
Subtracting 16 from 16 leaves us with 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 2

Step 5:
If we divide 7 by 2, we get 3 and a remainder of 1.
The next digit of our result is 3. 
Result so far: 42883.0
The remainder is 1 after subtracting 6 from 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 6:
If we divide 10 by 2, we get 5 and a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 42883.5
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.

Let's proceed to step 7:
2 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 42883.5
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.

Step 8:
If we divide 0 by 2, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 42883.5
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.

After the division, we end up with 42883.5 and a remainder of 0.0.