The long and short and final answer. Each receiver (dongle) is unique and paired at the factory. If you have a spare receiver, throw it away. It is worthless. If your keyboard receiver fails yet your keyboard is still good, throw away the keyboard. It
is worthless. YOU can do NOTHING to get a keyboard and a receiver to work together unless you know how to pair an item designed to prevent pairing. This is a simple Microsoft ploy to 1) keep you from fixing a perfectly good keyboard and force you into buying
another one 2)they probably own key stock in Waste Management so they hope you have to junk good stuff, just so they can be just a bit sociopathic in their treatment of customers.
My advice, as a Microsoft Partner is to avoid microsoft mice and keyboards and chose an acceptable Logitech product. Logitech took the alternate approach and makes not only replacements, but upgrades to nano receivers. This proves the absolute lack of necessity
in pairing the Microsoft products at the factory. It exposes Microsoft's policy as one purely designed to create more junk and more purchases. If you are faced with this, buy from the company who displays a little more empathy to their customers and a little
less empathy for their own bottom line.
Sad because I like Microsoft products, but being an honest Microsoft Partner, I cannot recommend buying something designed to force you into another purchase due to either a failure or the loss of the receiver. There is NO technological reason for this decision;
it is a decision made by an MBA who wants to sell more product rather than take care of existing customers. Do no reward the sociopathic business model by giving them your money. I do not say avoid all Microsoft products, just their unrepairable garbage, because
no matter how you look at it, you will eventually only own a piece of landfill rather than a functioning product. Perhaps enough rejection will cause a reconsideration of their "policy".