"Paste method of worksheet class failed." Copying from webpage

Excel 2007

I know this error has been solved many times before, but I have only seen workarounds, and my script requires an actual solution.

I am running a VBA script in excel that copies (10-600) lines of information from a webpage and then pastes that into excel. The pulled information contains headers and tables, and excel nicely keeps their format when I paste.

The paste works fine except for a random "runtime error 1004 paste method of worksheet class failed." As other posters have noted, the error goes away if you just hit 'Debug' and press play again. I could live with that myself, but this script will be used by others.

The solutions on forums say to assign the cells the string instead of copy-paste into it. That's a great solution for them, but doesn't work for me because I need to keep the formatting from an external source (webpage). So the following does not work, it just puts everything into one column:

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So here's my code:

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