Applied on line w/ Linked In as my resume and cover letter attached, HR got back the next day. Scheduled a phone screen, basic stuff, for a few days later.
Next step was a data analytics test that involved ride capture data with a given set of column headers and two weeks worth of hourly data. Easy Pivot Tables. You have precisely 2 hours to answer a set of like 9 mostly open-ended questions by drawing conclusions from the data. You do not submit your spreadsheet work, you only turn in written answers. That could be improved.
Next was a skype interview, discussing that data work and and your background, and experience and such. This was like an hour.
Then they have you in to the office, where you meet primarily with someone in the role that your applying for, but you also meet the senior staff at that particular office. At the end, the city GM joined the Operations Manager and we discussed various hypothetical scenarios that affect the distribution and availability of Ubers, as well as scenarios that consider the logistics of potential new business lines (in addition to Black, SUV, X, and Cab). This session lasted about 3 hours.
They got back to me a few days afterwards - ultimately didn't get it, but a great experience. They're good people, and it's a great company. If you love their business and understand how it works, what it's overcome, and where it's going you should apply. Good luck!