I'm not sure why the responses to the original question are so complex? You don't need to run a script or purchase new software to do this.
Assuming you have Acrobat, first make a copy of the original file. If anything goes wrong in the process, you still have this to go back to.
Open a copy of the PDF in Acrobat, then go to Document>Extract pages. Type in the page(s) you want to extract. You will be asked if you want to delete the extracted pages from the original document. You can choose yes or no - if the latter, you end up with the original PDF intact OR you can always go back later after the process has worked successfully and delete the pages.
The extracted pages are automatically opened in a new PDF which you can then save with a filename and location of your choice. Continue the process of extracting pages from the original until you have made whatever new PDFs you want.