Division

In mathematics, division (÷) is an arithmetic elementary operation.

Modulo

The modulo (sometimes called modulus) operation finds the remainder of division of one number by another

Faster solution computer

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"Since bit wise operations can be done very fast and division operations are relatively slow this type of modulo is from question Low level implementation of bitwise Mod |

"If you compute modulo a power of two using bitwise and is simpler and generally from question Assembly Language - How to Do Modulo? "A side effect of many division routines is the modulo - so in few cases should division actually be from question Is there any alternative to using % (modulus) in C/C++? |

"All we have to do is unconditionally add n and do another modulo;that s unlikely to be the best solution unless you have a computer where division from question Need an efficient subtraction algorithm modulo a number "Since std mt19937 is superior to rand the answer should be modulo from question What is faster? modulo an int, or divide int by MAX_INT to get a float then multiply by desired modulus value and cast back to int? |

Integer multiplier value

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"Multiplier the integer division of the value by the divisor;if modulo from question Round up an integer to multiple of 3 |

"The symbol is for modulo not division;as your two variables a b are both integers the result you will get from a division from question Printing mathematical fraction in C++ |

Remainder property operator

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"Modulo returns the remainder of the division and the division operator returns the quotient of the division;you should use modulo from question Python3.x: If/Else trouble |

"The division property conceptually is more about from question Why does integer division round down in many scripting languages? |

"The or modulo from question How to print numbers from 0 to 100 that are divisible by 3 and also 5? |

Number bits harder

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"Programmers like to use this property to speed up programs because it s easy to chop off some number of bits but performing a modulo is from question The idea behind unsigned integer |

"Modulo gives you a remainder which is why it s from question Using jQuery to delay loading of divs? |

Others

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So as long you have a perfectly representatble floating point number there is a good possibility that the division modulo will go through smoothly;however when you try to divide or take modulo by 0.1 or 0.2 there is always a roundoff error in its floating point representation which means the division from question Why is 5 divisible by 0.5 but not by 0.1? |

So in simple terms this should give you a feel for why division and hence modulo is from question Why is modulus operator slow? |

This is not an approach you can count on because division with floats is imprecise;using a modulo from question (Python) Why is it returning 9.0 instead of 9? |

Is the same as because division has from question C#: the most efficient way to convert int[] into a string |

Modulo is from question Is there a modulus (not remainder) function / operation? Inverse modulo for 300 time take 1.422 seconde from question ECC inverse modulo strange time execution |

Just use integers and division will just work for you;except of course the modulo from question C# Create Snap To Grid Functionality |

Second your algorithm is trial division not the sieve of eratosthenes and will have time complexity o n 2 instead of o n log log n;the modulo from question My implementation of the Sieve of Eratosthenes is flawed? |

Using an extra variable to avoid the costly division and the resulting time was 18.9s so significantly from question Speed up C program without using conditional compilation |

Python respects this definition whereas in most other programming language the modulo is from question Modulo for negative dividends in Python |