SOLUTION: What is the quotient of the following division problem? 37173 / 25 = ? A. 1488 r23 B. 1486 r23 C. 1485 r24 D. 1486 r24

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Question 945581: What is the quotient of the following division problem?
37173 / 25 = ?
A. 1488 r23
B. 1486 r23
C. 1485 r24
D. 1486 r24
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
That is a multiple choice question, and for that purpose we want quick mental math answers.

highlight%28B%29 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%2F25=4%2A37100%2F%284%2A25%29=4%2A37100%2F100=4%2A371 is a number that ends in 4.
So, again without doing the calculation,
37150%2F25=%2837100%2B50%29%2F25=37100%2F25%2B50%2F25=37100%2F25%2B2 must end in 4%2B2=6 .