Taiwan is actually at 26 days of no local cases as of today.
To your quarantine question, we currently only allow citizens to fly into Taiwan and those visitors have a mandated and tracked quarantine for them and anyone in the private home they are staying. If they have symptoms or do not have a private home they can quarantine, there are quarantine hotels they can wait out their 14 days. Anyone in quarantine is given a daily stipend.
Worth noting, while Taiwan is an island, it has a population density as high as 10,000 per square/KM in some areas. Taiwan had no business, school campus or public transportation shut downs. Strictly masks, hand washing, temperature checks, and social distancing.