> For the complete documentation index, see [llms.txt](https://docs.incari.com/incari-studio/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://docs.incari.com/incari-studio/2021.1/toolbox/math/modulo.md).

# Modulo

## Overview

![The Modulo Node.](/files/-MIxaVLJeGfXvxG3ihf4)

**Modulo** is a *modular arithmetic* **Node**, which divides one number (*dividend*) by a second number (*divisor*) and outputs the *remainder* of the *Euclidean division* operation.

This is the equivalent of the modulo (`%`) operation in computer science.

|            |           |          |             |
| ---------- | --------- | -------- | ----------- |
| `Dividend` | `Divisor` | Quotient | `Remainder` |
| 25         | 10        | 2        | 5           |
| 5.5        | 1.5       | 3        | 1           |
| 540        | 360       | 1        | 180         |
| 15         | 12        | 1        | 3           |

## Attributes

| Attribute          | Type                                          | Description                                                                                                                           |
| ------------------ | --------------------------------------------- | ------------------------------------------------------------------------------------------------------------------------------------- |
| `Data Type`        | **Drop-down**                                 | The type of data that will be plugged into the `Input` **Sockets**.                                                                   |
| `Default Dividend` | *Defined in the `Data Type`* ***Attribute***. | The left side of the *Euclidean division* operation (the number to be divided), if no value is provided in the `Dividend` **Socket**. |
| `Default Divisor`  | *Defined in the `Data Type`* ***Attribute***. | The right side of the *Euclidean division* operation (the number to divide by), if no value is provided in the `Divisor` **Socket**.  |

## Inputs

| Input             | Type                                          | Description                                                                     |
| ----------------- | --------------------------------------------- | ------------------------------------------------------------------------------- |
| *Pulse Input* (►) | **Pulse**                                     | A standard input **Pulse**, to trigger the execution of the **Node**.           |
| `Dividend`        | *Defined in the `Data Type`* ***Attribute***. | The left side of the *Euclidean division* operation (the number to be divided). |
| `Divisor`         | *Defined in the `Data Type`* ***Attribute***. | The right side of the *Euclidean division* operation (the number to divide by). |

## Outputs

| Output             | Type                                          | Description                                                                                                                            |
| ------------------ | --------------------------------------------- | -------------------------------------------------------------------------------------------------------------------------------------- |
| *Pulse Output* (►) | **Pulse**                                     | A standard output **Pulse**, to move onto the next **Node** along the **Logic Branch**, once this **Node** has finished its execution. |
| `Remainder`        | *Defined in the `Data Type`* ***Attribute**.* | The remainder of the *Euclidean division* operation.                                                                                   |

## External Links

* [*Intro to remainders*](https://www.khanacademy.org/math/arithmetic/arith-review-multiply-divide/arith-review-remainders/v/introduction-to-remainders) on Khan Academy.
* [*What is modular arithmetic?*](https://www.khanacademy.org/computing/computer-science/cryptography/modarithmetic/a/what-is-modular-arithmetic) on Khan Academy.