I need you to divide my public key by 2 and give me a public key which has a private key half of my original private key!
First of all there is no division in elliptic curve. Second thing is you can still do division through multiplication which is by multiplying with 0.5 instead of dividing by 2. I don't know what scheme you have in mind to divide your public key into half, perhaps you know better. Though I've never done it, but I am convinced it can be done through multiplication as I said.
You are still young and naive! How do you multiply by 0.5? Though that's interesting, because I haven't figured out to divide a key by keep multiplying it by 0.5!!!