Git push to different remote - Git push existing repo to a new and different remote repo server?

To solve git push to different remote, you need to copy the repo to your git-hub and work on it for that follow the steps:

Create a new repository in your github

Then clone the repository which you need to work on from your hosted.org to the local machine

Then rename the repo with upstream using:

git remote rename origin upstream 
Then add your repository url to your remote using: 
git remote add origin 

Then push the changes to your remote repo using:

    git push origin master

From the above steps, you can copy repo to your github.

To get updated and to pull the changes you can do:

    git pull upstream master && git push origin master

This will pull the changes and keep you updated with your official repo.