“Pur.” Pur is an Akkadian loanword, and therefore likely unfamiliar to the people reading the Hebrew text, thus the explanation of what “Pur” meant.
“from day to day.” The custom and method used in casting lots was unknown, and the Hebrew text is not clear on what was done or how. It seems extremely unlikely that Haman met with his astrologers and magicians to cast lots every day until a propitious day was found. If they cast lots from day to day, they would start with a day and if the lot said “no,” they would ask about the next day, and in that matter they would move “from day to day, and from month to month.” This process would have taken a while but would have been accomplished in one day. There is little doubt that God had his hand on the date because from Nisan, the first month, to Adar, the twelfth month, there was a year’s time, and so God had time to work behind the scenes with the situation so the Jews could be saved.