Fix: Windows 8.1 Update fails to install, errors 0x800f081f and 0x80071a91

Microsoft recently made available the Windows 8.1 Update for all Windows 8.1 users via the Windows Update service. However, many users are facing an issue that prevents the update from being installed. It fails with some error code, usually 0x800f081f or 0x80071a91. If you have a similar issue, then you need to do the following steps.

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