How to backup my iPhone from the iCloud from a computer?

I had an issue with about 1/4 of my iPhone touch screen not working (the right most column of apps). I restarted my phone a few times and when that didn't work, I did a restore on it. Well, when I wiped the phone that didn't fix the problem and now I'm trying to set it up to back up from iCloud and I can't make it through the set up because the "next" button is in the top right corner of the touch screen, and since that area of the screen isn't functioning, I can't proceed with the set up.

If I could back my phone up from my laptop, I could at least use my phone again. The phone is NOT backed up with any computer, only on the iCloud.

This is a hardware issue. No matter what you do you will not be able to proceed. Go to your nearest Apple store as soon as possible and get it swapped out