The spread is not being stopped. It is being slowed down. Huge difference. Slowed down is still very good and a very good goal for us, but the opportunity to "stop" COVID-19 has passed in the U.S. and EU.
The number of active cases is down from the peak China. If it continued like this without imported cases the virus would die out as each new infection infects fewer than 1 other person.
China is still testing aggressively. If the number of active cases were expanding, much less expanding exponentially, the number of reported cases would be more than a handful per day.