According to D'varim 17:18-20, a king was required to write for himself a sefer torah and read from it each day ( וְקָרָא בוֹ כָּל-יְמֵי חַיָּיו). This doesn't say he had to read the whole sefer each day (it doesn't say kol), which also seems like it would be impractical.
What did he read? Did he read it sequentially over time, for example following a daily parsha division? Were there certain parts he was to read every day? Did he just choose something each day? And how much was he to read -- a single verse, a minimum number of verses, a large amount?
(Inspired by this question.)