In my defense: I'm taking a pragmatic view. It's a waste of my time for me to be doing long division when I've got access to the technology that can do it so much faster and more accurately.
This may be considered sacrilege, but I also find it a waste of time to learn difficult integrals, now that Mathematica and other symbolic manipulation programs can do them quicker and more accurately than any human.
That doesn't preclude me from being a competent mathematician when I need to be. It just means I'm spending my time in more useful areas or research.
Modern technology can free us to be more creative and less uptight about these things. I'm happy to let Google take the slack instead of memorizing hundreds of completely forgettable factoids. I'm happy to let Mathematica work out that some integral can be expressed in terms of a Gamma function.
I think we need to start reevaluating education in the light of technology. Another example- do we really need to spend so long on teaching spelling now that every app has a built in spell-checker? It used to be that everyone used slide rules and log-tables. I don't have a clue how to use either and I'm not ashamed of it. I think we're going to find out that a lot of things we think students should know are going to become totally irrelevant in the future.