Remainder operation
A remainder operation returns the residual left after dividing one value or algebraic expression by another under the applicable division rules.
Math for Web Design
The remainder operator is the JavaScript operator (%) that returns the remainder after division, with behavior that depends on the signs of its operands.
- How it is used
- Supports cyclical interfaces, carousel navigation, and animations that must wrap values into a repeating range.
- How deep it goes
- Explains circular modulo intuition, JavaScript’s negative-dividend behavior, and a normalization formula, then stops short of broader arithmetic internals.
- Examples
- Uses a five-position circle, JavaScript remainder expressions, a reusable mod function, and a carousel back-button calculation.
- What you can do after
- Diagnose and prevent invalid cyclical indexes by normalizing JavaScript remainders before using them for navigation or animation.
Get Programming: Learn to code with Python
A Python operator that computes the remainder after division of one numeric operand by another.
- How it is used
- Uses the remainder operator to calculate leftover minutes in a first Python conversion program.
- How deep it goes
- Defines remainder with small arithmetic examples and applies it in a complete conversion program.
- Examples
- Uses 3 % 2, 6 % 4, and 123-minute conversion examples.
- What you can do after
- Apply it via Python to calculate values left after division and split totals into complete units and remainders.
Read how Get Programming: Learn to code with Python explains remainder operation →
Grokking Data Structures
The modulo operator computes the remainder after integer division.
- How it is used
- Maps virtual positions back to valid indexes while implementing a circular queue in a static array.
- How deep it goes
- Defines remainders for positive integers and works through wraparound examples, without developing modular arithmetic beyond array indexing.
- Examples
- Uses an eight-element array with 8 % 8 == 0, 9 % 8 == 1, and 10 % 8 == 2.
- What you can do after
- Apply modulo to convert virtual queue positions into valid static-array indexes.
Read how Grokking Data Structures explains remainder operation →
Related concepts
- Math.floorModalternative to · Math.floorMod is a Java method that computes a floor-modulus result with a nonnegative remainder for a positive modulus.
- polynomial pseudo-divisionproduced by · Polynomial pseudo-division is a division procedure that avoids coefficient inverses by scaling intermediate results by powers of the divisor's leading coefficient.
- integer divisionuses · Integer division is division that produces an integer quotient by discarding the fractional part according to the applicable arithmetic convention.
- applicationused by · An application is a software program or system that performs tasks or provides functionality for users or other software systems.
These guides are generated from the text of Manning books by Manning's knowledge graph and link to the sections they draw on. The full books are available on liveBook and at manning.com.