Here's how I manage to stay afloat:
I wake up early to give myself more 'working hours' (usually 6:00-6:30ish). Get to uni/library for 9:00 and start cracking on school work. Get back home around 5/6/7 ish and continue with apps.
That said, I still work on applications during the day. If I have a one hour break between lectures, I do some research, proof read an application or read the news. Most times, I find myself jotting down answers during these short periods. Also, during the bus ride to and from uni, I think about my applications - what can I do to make it better, is my answer convincing enough? can this sentence be written in a better way? (PS I type all my application answers in a word document and email it to myself so I am constantly reviewing it.
As for motivation, I think the easiest way people get demotivated is when they compare themselves to others (and how far they've progressed). I could be motivated to complete my application for a firm tomorrow night and then by tomorrow afternoon, I find out that my friend has sent out 4 applications. Of course this is depressing.
So, what do I do? I mind my business; I don't ask people about their application process and hopefully they don't. I also stay away from surroundings/websites that could tempt me to compare myself to others (including TCLA sometimes, sorry Jaysen 
).
Also, this has to be for you and you alone. I always have to stop myself from 'showing those firms which rejected me' or proving to the people I did a vac scheme with that I got a TC with a better firm.
Finally, you just gotta believe. No one can believe in your capabilities if you don't, there's no time to play the victim - get out there and spread your wings. I like to re-reinforce self-belief so I've downloaded short motivational talks on my spotify playlist. Instead of listening to music, I play them on my way to the bus stop, as I dress my bed, as I walk to class etc. Its just a little habit I've formed and it helps a great deal.
I hope this helps, good luck!
