The completion suggester in Elasticsearch works by taking a prefix typed by the user, then searching the index for terms that start with that prefix in a special completion field. The process starts when the user types a prefix like 'nir'. Elasticsearch receives this prefix and queries the completion suggester on the specified field. It finds all matching suggestions that start with 'nir', such as 'nirvana', 'nina simone', and 'nirvikalpa'. These suggestions are then returned to the user to show autocomplete options. The execution table shows each step from receiving input to returning suggestions. Variables like 'prefix', 'matches', and 'suggestions' track the state through the process. Key points include that only terms starting with the prefix are matched, no partial matches inside words are returned, and if no matches exist, no suggestions are returned. The visual quiz tests understanding of the matches after searching, when suggestions are returned, and how changing the prefix affects matches. The concept snapshot summarizes the syntax and behavior of the completion suggester for quick reference.