Question 945581
That is a multiple choice question, and for that purpose we want quick mental math answers.
 
{{{highlight(B)}}} is my mental math quick answer.
Here is how I get to that answer:
 
C and D make no sense:
The remainder has to be 23,
because 37173 = 37150 + 23,
and 37150, being a multiple of 50, divides evenly by 25.
 
So, is it A or B?
Without doing the calculation,
you know that
{{{37100/25=4*37100/(4*25)=4*37100/100=4*371}}} is a number that ends in {{{4}}}.
So, again without doing the calculation,
{{{37150/25=(37100+50)/25=37100/25+50/25=37100/25+2}}} must end in {{{4+2=6}}} .