You can share an optical drive and mount it as a network drive on another computer. It works okay. I've done it. Or you can rip an image of the disc and transfer it over and mount it with something like MagicDisc, DAEMON Tools, or Virtual CloneDrive. Or you could buy an external drive which is considerably cheaper than hundreds of dollars.
The instructions for the first vary from edition to edition of Windows, but are generally something like this:
- On the computer which does have a disk drive, go to Computer (or My Computer), right-click on the disc drive, and hit "Properties". Then, on the "sharing" tab, click "Advanced Sharing" ("Share" is disabled on my computer for some reason; if it works on yours, you can use it). Click the "Share this folder" checkbox, and then hit "ok".
- On the new computer without a laptop drive, navigate the network for the shared folder. When you find it, right click and say "Map this drive"
The instructions for the second depend on what tool you use; you can find the various instructions on the specific tool's website. Note that there may be some tools that can only make virtual disks (ISOs), and some that can only read them, so you may want to get different software for the two different computers.