Q:

What is one possible dividend, greater than 1,000, if the quotient is 37 R4

Accepted Solution

A:
This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed. (October 2014) (Learn how and when to remove this template message) 20 Ă· 5 = 4, because 20 apples contain five apples four times. That is an example of division as quotition rather than as partition. One can also say that 20 Ă· 5 = 4 because when 20 apples are divided into 5 equal sets of apples, then there are 4 in each such set. That is division as partition rather than as quotition. Division is one of the four basic operations of arithmetic, the others being addition, subtraction, and multiplication. The division of two natural numbers is the process of calculating the number of times one number is contained within one another.[1]:7 For example, in the picture on the right, the 20 apples are divided into groups of five apples, and there exist four groups, meaning that five can be contained within 20 four times, or 20 Ă· 5 = 4. Division can also be thought of as the process of evaluating a fraction, and fractional notation ( a / b and  aâ„b) is commonly used to represent division.[2] Division can be viewed either as quotition or as partition. In quotition, 20 Ă· 5 means the number of 5s that must be added to get 20. In partition, 20 Ă· 5 means the size of each of 5 parts into which a set of size 20 is divided. Division is the inverse of multiplication; if a Ă— b = c, then a = c Ă· b, as long as b is not zero. Division by zero is undefined for the real numbers and most other contexts,[3]:246 because if b = 0, then a cannot be deduced from b and c, as then c will always equal zero regardless of a. In some contexts, division by zero can be defined although to a limited extent, and limits involving division of a real number as it approaches zero are defined.[a][2][4]