I applied online. The process took 3 months. I interviewed at KPMG (London, England) in Jan 2016
Interview
Easy online application with no competency Q's (though I've heard this may have been changed)
Followed by some numerical and SJT tests, pretty standard, not too hard.
Telephone interview with a HR lady, all questions can be found online (glassdoor, wallstreetoasis etc.)
Then a standard assessment centre (group exercise plus tests, no interview)
I applied through an employee referral. I interviewed at KPMG (Singapur)
Interview
After submitting my CV, there was a virtual interview and they asked a market sizing question + why I wanted to join the specific department. They also asked about stuff in my CV and it was overall pretty manageable, they don't expect you to know much as an intern.
It was an hour long with 2 hiring manager and HR. Whole process was like one round to offer. This spanned around 2 weeks in total from HR reach out to offer letter.
The interview process at KPMG was straightforward but rigorous. I completed an online assessment, followed by a video interview, and then a panel interview with case questions. The team was professional, and the timeline was reasonable, taking about a month from application to offer.