set up a Skype account

How do you set up a Skype account without downloading Skype to your computer? I already have Skype downloaded on my computer with my own account. And my friend has an Android powered phone with Skype on it but we tried to make an account on their phone but the connection was too slow. And their home computer is broken. So, is there any way I can just create a new Skype account on the computer and just sign them on on their phone without downloading Skype again?

Sign out of Skype on your computer and Press create new skype account