The Remainder For Natural Numbers
If a and d are natural numbers, with d non-zero, it can be proven that there exist unique integers q and r, such that a = qd + r and 0 ≤ r < d. The number q is called the quotient, while r is called the remainder. See Euclidean division for a proof of this result and division algorithm for algorithms describing how to calculate the remainder.
Read more about this topic: Remainder
Famous quotes containing the words remainder, natural and/or numbers:
““What have I gained?”
“Experience,” said Holmes, laughing. “Indirectly it may be of value, you know; you have only to put it into words to gain the reputation of being excellent company for the remainder of your existence.””
—Sir Arthur Conan Doyle (1859–1930)
“Unto a life which I call natural I would gladly follow even a will-o’-the-wisp through bogs and sloughs unimaginable, but no moon nor firefly has shown me the causeway to it.”
—Henry David Thoreau (1817–1862)
“I had but three chairs in my house; one for solitude, two for friendship; three for society. When visitors came in larger and unexpected numbers there was but the third chair for them all, but they generally economized the room by standing up.”
—Henry David Thoreau (1817–1862)