Windows Update error 0x800F0825 typically arises when a cumulative or feature update fails due to corrupted component store or blocked update files. To resolve it, start by resetting Windows Update components: open an elevated Command Prompt and run commands to stop
wuauserv, bits, and cryptsvc, rename the SoftwareDistribution and Catroot2 folders, and then restart those services. Next, run the Deployment Image Servicing and Management (DISM) tool with DISM /Online /Cleanup-Image /RestoreHealth followed by sfc /scannow to repair system file corruption. Temporarily disable any antivirus or firewall software that could interfere during updates, then reboot your PC and check for updates again via Settings → Update & Security → Windows Update. For a comprehensive, step-by-step guide complete with troubleshooting screenshots, visit this detailed walkthrough.