Yes, showering is preferable, but sometimes you cannot. This method of cleanup works consistently.
When removing the messed nappy, grab the back and wipe yourself from back to front. Set the nappy flat on a closed toilet seat and use the front of the nappy to wipe yourself from front to back. Use a paper towel (no, not toilet tissue or wipes) to remove any residual. Then use a few wipes for the final cleanup.