So the first number you have there is accurate, the estimate I found is 228,392 people in total, 191,044 of which were Crimean Tatars. The order for the deportation of the Crimean Tatars was signed by Stalin and carried out by Lavrenty Beria, the head of the NKVD (the state police organization that changed names many times but most people know best as the KGB) in July 1944, shortly after the liberation of Crimea from German forces. The Crimean Tatars were deported with the nine other national/ethnic groups totaling 1.5 million people; all accused of collaborating with the invading and then occupying Nazi forces. The deportation was carried out in just three days as NKVD agents went house-to-house rounding people up at gunpoint and then forcing them into closed cattle box cars destined for various locations, mostly in the Uzbek Socialist Republic. Accounts of from the Chechen deportations describe as many as 45 people being loaded and then sealed into a single car. In the sealed cars on their way to Uzbekistan, 7,889 people died from the harsh and inhuman conditions - 183,155 Crimean Tatars arrived to their assigned destinations. From there it is much harder to estimate but the range included tens of thousands more Tatars dying due to the harsh conditions of deportation and the immediate impact of their new environment.
In 1940, before the war, Tatars made up about 19 percent of the Crimean population. Tatar is a catchall term used by Russians for various Islamic, Turkic ethnic groups who have lived and live in Russia, Southern Russia, Ukraine, and the Caucasus. Per the details of the deportation orders the Crimean Tatars ceased to exist as a recognized group in the Soviet Union, even on censuses some report that they were only recorded as Tatars - no mention could be made of the fact that they were originally from Crimea. The strict ban ended with Stalin's death in 1953 and in 1956 Krushchev gave a speech behind closed doors to the gathered officials of the Communist Party sharply criticizing Stalin's cult of personality (a term that originates from this speech) and his various crimes against the people of the Soviet Union. The ban preventing the Tatars from returning was not lifted until 1967 and the deportation was officially labeled as a crime in 1989 as the party tried to open up and reform to prevent the collapse of the entire Soviet system. In 1989, 38,365 Tatars were living in Crimea again, 1.6 percent of the total population of the peninsula and as of the 2001 Ukrainian census there were 243,000 Tatars living in Crimea again - up to 12 percent of the population of Crimea.
I really can't label this story as anything other than a tragedy and a crime against humanity that I hope is never repeated. Obviously, the devastation to the Crimean Tatar community and culture is beyond the scope of a reddit reply. A number of Tatars still live in Uzbekistan as a diaspora community, though when they first arrived, along with the other punished nationalities they were met with strong hostility from the local population who had heard and believed the rumors that the Tatars had collaborated with the enemy during the war. More than one of the sources I consulted pointed to an animosity among the Slavic populations towards the Tatars as at least one of the origins of the claims that the Tatars had collaborated with the Nazis and it is conspicuous that, after the Tatars were deported and their mostly rural land seized, ethnic Russians were shipped in to form collective farms from the confiscated lands. Crimea, which had been an autonomous region prior to 1944, also lost that status and the benefits of some self-government that came with it. The accounts I have read report that the actual statistical rates of collaboration for Crimean Tatars and the other nationalities were not exceptional, rather they were congruent with the rest of the Nazi occupied territory in the Soviet Union.
Sources:
Drohobycky, Maria (1995). Crimea: Dynamics, Challenges and Prospects. Lanham: Rowman & Littlefield.
Evtuhov, Catherine; Stites, Richard (2004). A History of Russia: Peoples, Legends, Events, Forces Since 1800. Boston: Houghton Mifflin Company.
Fitzpatrick, Sheila (2015). On Stalin’s Team: The Years of Living Dangerously in Soviet Politics. Princeton: Princeton University Press.
Garrard, John; Healicon, Alison (1993). World War 2 and the Soviet People: Selected Papers from the Fourth World Congress for Soviet and East European Studies. New York City: Springer.
Parrish, Michael (1996). The Lesser Terror: Soviet State Security, 1939-1953. Westport, Conn.: Greenwood Publishing Group.
Pohl, J. Otto (1999). Ethnic Cleansing in the Ussr, 1937-1949. Westport: Greenwood Publishing Group.