Wizards use magically-operated printing presses.
Luna was not there: the thing that was making such a racket was a
wooden object covered in magically turning cogs and wheels. It looked
like the bizarre offspring of a workbench and a set of old shelves,
but after a moment Harry deduced that it was an old-fashioned printing
press due to the fact that it was churning out Quibblers.
Harry Potter and the Deathly Hallows - Chapter Twenty: Xenophilius Lovegood
It's not entirely clear from the text if they're using offset printing (the kind that prints from a negative) or movable type (the kind where you use letter blocks) but it seems likely that it's the former given the presence of rollers. In the film you can clearly see that it's a roller-printer.
On top of that, pictures in muggle newspapers don't typically move so there's probably something magical in the ink used.
The Ministry uses magic to assemble pamphlets from what appear to be pre-printed sheets of paper
Harry paused to watch them, for the effect was quite mesmerising. They
were all waving and twiddling their wands in unison, and squares of
coloured paper were flying in every direction like little pink kites.
After a few seconds, Harry realised that there was a rhythm to the
proceedings, that the papers all formed the same pattern, and after a
few more seconds he realised that what he was watching was the
creation of pamphlets, that the paper squares were pages, which when
assembled, folded and magicked into place, fell into neat stacks
beside each witch or wizard.
Harry Potter and the Deathly Hallows - Chapter Thirteen: The Muggle-Born Registration Commission