> 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/master/math/modulo.md).

# Modulo

## Overview

![](/files/-MIxaVLJeGfXvxG3ihf4)

**Modulo** takes two **Numerical Type Inputs**; `a` (*the dividend*) and `b` (*the divisor*) and returns the *remainder* of the *division* of `a` and `b`.

Unlike normal division, this kind of operation, actually considers how many times the divisor fits into the dividend in its entirity (the *quotient*), with the *remainder* being the amount that is left over.

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

## Attributes

| Attribute   | Type                                          | Description                                                                    |
| ----------- | --------------------------------------------- | ------------------------------------------------------------------------------ |
| `Data Type` | *Defined in the* `Data Type` ***Attribute**.* | The **Numerical Data Type** of both the dividend and the divisor (`a` and `b`) |

## Inputs

| Input             | Type                                          | Description                                                           |
| ----------------- | --------------------------------------------- | --------------------------------------------------------------------- |
| *Pulse Input* (►) | **Pulse**                                     | A standard **Input Pulse**, to trigger the execution of the **Node**. |
| `a`               | *Defined in the* `Data Type` ***Attribute**.* | The dividend (number to be divided).                                  |
| `b`               | *Defined in the* `Data Type` ***Attribute**.* | The divisor (amount the dividend should be divided 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. |
| `c`                | *Defined in the* `Data Type` ***Attribute**.* | The remainder of the division operation. (*divisor - dividend \* quotient*).                                                           |

## External Links

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