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# What is meant by quotient and remainder

21st Oct 2018, 11:36 AM
Dharani Priya Elangovan
2 ответов
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Some examples (because I'm not that good at explaining): 4 / 2 = 2 quotient: 2 (number of times it can be divided without overshooting) remainder: 0 (it's a whole number) 10 / 3 = 3.33... quotient: 3 remainder: 1 (the leftover of the "undershot" division) 3 / 5 = 0.6 quotient: 0 (divisor is greater than dividend) remainder: 5 In Python there are operators which allow you to get the quotient and remainder of divisions: "//" quotient operator >>> 12 // 5 2 "%" remainder/modulo operator >>> 12 % 5 3 There are lots of good examples in the internet (with pictures) it would definitely help to do more research to clarify it :)
21st Oct 2018, 12:10 PM
jtrh
+ 3
So quotient remainder theorem is a theorem from modular arithmetics. The quotient remainder theorem says: Given any integer A, and a positive integer B, there exist unique integers Q and R such that. In other words you have A= B * Q + R where 0 ≤ R < B You can use this for make somes proves in modular arithmetic. Some direct consequence is that you can have with this propertie is: if you can write a number using A= B * Q + R where 0 ≤ R < B you can write in this form other form bellow too. A mod B = R
21st Oct 2018, 12:18 PM
Anya
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