Who divided the Sefer Tehillim into daily sections (both day of week and day of month)?
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The division of Tehilim into days of the week and days of the month was done by the 14th century scholar Rabbeinu Menachem ben Zorach, a Talmid of Rabbeinu Yehuda ben HaRosh.
This is the link showing the divisions - http://www.hebrewbooks.org/pdfpager.aspx?req=39362&st=&pgnum=263
@Alex points out: