Question 230119
The first day of the year 2009 was Tuesday and there are 365 days in this year,what will be the day of the week when 2010 begins? 
<pre><font size = 4 color = "indigo"><b>   
 <u>  52</u>
7)365
  <u>35</u>
   15
   <u>14</u>
    1 

Since the quotient is 52 and the remainder is 1 
when 365 is divided by 7, January 1, 2010 will be 
exactly 52 weeks and 1 day 
from Tuesday, January 1, 2009, and will therefore
be on Wednesday.

[Another way to state this is that 
365 mod 7 = 1, and Wednesday is 1 day after Tuesday,
in case you are studying modular or "clock" arithmetic.]

Edwin</pre>