Spain’s flawless record in the group stages – winning all three matches without conceding a goal – meant they were considered heavy favourites for this knockout tie.
They had to show resilience when Georgia then ripped up the script, stunning Spain with a goal against the run of play, but Luis de la Fuente’s men delivered.
Largely considered tournament favourites for the way they have played so far, Spain only consolidated that opinion with a ruthless second-half display, full of creativity.
Yamal and Williams, 21, danced together in the corner after Spain’s third goal, with both putting in another exciting performance.
Substitute Olmo also took his opportunity to shine, getting his name on the scoresheet, having looked bright in their 1-0 win over Albania.
Spain were tested by Georgia but did not let their counter-attacking threat disrupt their rhythm, and it paid off.
Quarter-final opponents Germany will pose their biggest challenge so far but Spain have shown more than enough to maintain their 'tournament favourites' tag.
"We created many chances and it could have been 8-1 which would have been normal," said Spain manager Luis de la Fuente.
"We need to value how important this victory is because the opponents were really good.
"We know this next game [against Germany] could have been a final at a World Cup. It's a great rival we are going to face."