Division by 2 just means to multiply by 1/2 mod N.
1/2 just means 2's inverse so that 2*x = 1 mod N.
Inverse of x mod N just means x^N-2 mod N (Fermat Little Theorem).

Let's take F = { y(x) = 2^x mod 11, 0 < x < 11 }

and some known y = 5: 2^x = 5 mod 11

"Divide" public key by 2: 2^x/2 = 5/2 mod 11

2^x-1 = 2^-1 * 5 mod 11
2^-1 = 2^11-2 mod 11 = 6

So: 2^x-1 = 5*6 mod 11 = 8

Great, now you have to find x - 1. Repeat? Sounds like nothing really changed.

Let's take F = { (x, y) = [k]G, 0 < k < N }

and some known (x, y) = Q: [k]G = Q

"Divide" public key by 2: [k/2]G = [1/2]Q

[k/2]G = [2^-1]Q
2^-1 = 2^N-2 mod N

So: [k/2 mod N]G = [2^N-2 mod N]Q

Great, now you have to find k / 2. Repeat? Sounds like nothing really changed.

If you fall into the trap that k is somehow half the size now, remember this:
1. Division of a field element means multiplying the element with the divisor's field inverse.
    k is not an integer in an infinite field, but a finite field. You can't just half it's value, that only makes sense in an
    infinite field, and only if such an inverse really exists.
2. Groups do not have multiplication operation, only addition. There's no such thing as multiplying or division of elliptic points, they form a group, not a field. "Point multiplication by k" just means adding the point to itself k times. "Division by k" means adding the same point to itself k^N-2 mod N times. You need to respect the definitions of what something can be called a "group" or "field", "finite" vs "infinite", not invent or borrow properties from different structures. It can't work.

Hi albert0bsd, could you leave me your email in a private message, I have an idea for your keyhunt program, business suggestions!.
Your problem is the .exe and windows stuff

Don use it on windows, compile it your self in a WSL environment or native linux

The lastest version is Version 0.2.230519 Satoshi Quest it provide an increment of speed X2 compared with previous version