Grade 4 Math - Teach You to Think Every Day

Author: Chai Changlong
Publisher:
Publish Date: 2006-08-01
Features: Brain Teaser Bean is calculating division with a remainder when he mistakenly writes the dividend 2096 as 2906. This makes the quotient 2 more than the original, while the remainder is exactly the same. What are the divisor and remainder in this problem?
Smart Tips
(1) Since the dividend 2096 was mistakenly written as 2906, we can find out how much more the dividend increased: 2906 - 2096 = 810;
(2) Because the quotient is 2 more than the original, and the remainders of the two calculations are the same, we can find the divisor: 810 ÷ 2 = 405;
(3) Divide 2096 and 2906 by the divisor separately to verify whether the remainders are the same, thereby confirming the correctness of the divisor and finding the remainder:
2096 ÷ 405 = 5…71
2906 ÷ 405 = 7…71
Thus, the divisor in this problem is 405, and the remainder is 71.
Showtime
Xiao Wu was calculating division with a remainder when he mistakenly wrote the dividend 384.2 as 3482. This makes the quotient 8 less than the original, while the remainder is exactly the same. What are the divisor and remainder in this problem?