There are not enough examples of polynomial division using the grid method out there. So, to remedy that, I have posted about 100 billion examples for your viewing pleasure. Please check ‘em out: https://dmackinnon1.github.io/polygrid/
About half the time the examples have remainders, and the calculations vary in length and complexity in no particular order, so if you get a crop of examples that look too intimidating, or too easy, just keep trying and you should get ones more to your liking. If you see one you like, you should copy it down: you may never see it again.
I have plans to make the examples configurable and to show each part of the calculation step by step, but I may not get around to doing that for a while.
Please let me know if you get some use out of this page, particularly if you run into any trouble with it.