I am a complete Drupal noob, and am working on applying version 5.5 to 5.3. The 5.5 announcement on the Drupal homepage has a link to the tutorial "Upgrading from previous versions (http://drupal.org/upgrade/). I am following that tutorial. Below is my synopsis of the steps given in the tutorial:

  1. Prepare the site.
  2. Do I need to upgrade my database? (Page title)
    1. Upload the new files.
    2. Run update.php.
  3. Back up the site files and database.
  4. Copy the backups to a test site and test it.
  5. Download and install the new Drupal version:
    1. Replace the test site files with the update/upgrade versions.
    2. Restore contributed modules.
    3. Restore .htaccess, settings.php, /files, custom themes, etc.
  6. Run update.php again.
  7. Restore your customizations.
  8. Do the post-upgrade cleaning.
  9. Test the site.
  10. Rinse, lather and repeat with the live site.

Step 2 seems out of place. 5.1 duplicates 2.1 and 6 seems to duplicate 2.2. I can see running update.php before you start to ensure that it is up to date within its running context, but why upload the Drupal files twice? (The tutorial text for step 2 begins "After uploading the new files..)
Am I misinterpreting the instructions?