<human>: Can you give me the gist of the text in a nutshell?

My credit card was compromised a few weeks ago, so I got a new one recently. In the time before I activated my new card, most of subscription services lapsed, such as Hulu and Netflix.

I activated my new card and renewed my Hulu subscription, but didn't bother with Netflix because I decided I didn't use it much anymore. However, I just received an email from Netflix telling me they have processed the payment, and showed the last four digits of my new card.

My question is- how on earth did they get this new cc number? Did my bank (Wells Fargo) just give it to them? Just seems kind of odd. Thanks!
<bot>: of this thread is don't assume that getting a new credit card will prevent charges from subscription services like Netflix or Xbox Live, because they can easily access your new cc number.