How to get rid of this white border in MS Word?

Solution 1:

That's only a visual effect created by a dpi-scaling issue. Zoom in and out of your page, and you will see the border appear and disappear.

If you want to get comletely rid of it, the only way is to insert a rectangle, fill it with the same blue color and place it behind your table, selecting "wrap text -> behind text" from the shape format menu. (see screenshot below)

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