Aspects

vs

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

Example

"Since bit wise operations can be done very fast and division operations are relatively slow this type of modulo is much faster than doing a division"

from question

Low level implementation of bitwise Mod

"If you compute modulo a power of two using bitwise and is simpler and generally faster than performing division"

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 faster than modulo"

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 is faster than branching"

from question

Need an efficient subtraction algorithm modulo a number

"Since std mt19937 is superior to rand the answer should be modulo is faster than division"

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

Example

"Multiplier the integer division of the value by the divisor;if modulo is greater than zero the multiplier is incremented"

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 will also be an integer which in the case of 300 400 is zero"

from question

Printing mathematical fraction in C++

Remainder property operator

Example

"Modulo returns the remainder of the division and the division operator returns the quotient of the division;you should use modulo not division operator"

from question

Python3.x: If/Else trouble

"The division property conceptually is more about remainder than modulo"

from question

Why does integer division round down in many scripting languages?

"The or modulo is remainder division"

from question

How to print numbers from 0 to 100 that are divisible by 3 and also 5?

Number bits harder

Example

"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 much harder it s about as hard as doing a division"

from question

The idea behind unsigned integer

"Modulo gives you a remainder which is why it s better than straight division in situations where you re number of elements can change"

from question

Others

Example

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 will not be complete and hence the result will not be true

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 slower computers still have to do long division in the same stepwise fashion tha you did in grade school

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 is a lot more reliable

from question

(Python) Why is it returning 9.0 instead of 9?

Is the same as because division has higher priority than modulo

from question

C#: the most efficient way to convert int[] into a string

Modulo is more mathematical if you like while the remainder in the c-family is consistent with the common integer division satisfying and this is adopted from old fortran

from question

Is there a modulus (not remainder) function / operation?

Inverse modulo for 300 time take 1.422 seconde more than executing division sub and multiplication 10k time even the core of inverse modulo is build with same division and sub and multiplication functions and for this number it just do 150 time inside while help plz why

from question

ECC inverse modulo strange time execution

Just use integers and division will just work for you;except of course the modulo solution is so much more elegant

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 gives the game away

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 better than the modulo with a statically known constant

from question

Speed up C program without using conditional compilation

Python respects this definition whereas in most other programming language the modulo is really more like a reaminder after division operator

from question

Modulo for negative dividends in Python

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