Use a browser-based PDF splitter that pulls the page range you want out of the file and saves it as a new PDF, entirely on your own device. It is free, needs no account, and because the split happens locally the document is never uploaded. To break a PDF into several parts, just repeat the split for each range.
Most real-world splits are not "one file per page" but "pages 3 to 7 as their own document": a chapter, an exhibit, a single signed form out of a scanned bundle. A splitter that lets you type a page range and download that range as a fresh PDF covers this directly, and running it again with a different range gives you as many parts as you need.
PDFs that need splitting are often exactly the ones you least want on a stranger's server: contracts, medical records, bank statements. A client-side splitter reads the file in your browser, copies the selected pages into a new PDF with a small JavaScript library, and never transmits anything, so the only copies that exist are the ones on your machine.
No. The split runs entirely in your browser, so the file never leaves your device.
Yes. Extract one page range, download it, then run the tool again for each additional range.
No. The tool creates a new PDF from the selected pages and leaves your original untouched.