## Make an Euclidean Division

⮞ Go to: Euclidean Division

## Division of 2 numbers

## Calculation with divisions

## Calculate Fractions

⮞ Go to: Calculator with Fractions

## Search for repeating decimals

⮞ Go to: Repeating Decimals

## Answers to Questions (FAQ)

### What is a division? (Definition)

Division is a mathematical operation that consists of dividing a number N1 (called the dividend) by another number N2 (called the divisor) to find the number of times that N2 (the divisor) can be contained in N1 (the dividend).

The division operation must be seen as a separation of a number N1 in smaller quantities N2 in equal parts. The division can be exact (separation of 10 elements in piles of 2) or have a remainder (separation of 10 elements in piles of 3, 1 element remaining), the latter is also called *Euclidean division*.

dCode has a tool for realizing the Euclidean division (with details of calculations).

### How to calculate a division?

With the calculator, indicate the 2 numbers N1 and N2 and click on calculate.

__Example:__ 10 divided by 5 is denoted 10/5 or 10÷5 or $ \frac{10}{5} $ is equal to `2`, as it is possible to divide 10 into 2 equal parts of size 5.

__Example:__ 10 divided by 4 is noted 10/4 or 10÷4 or $ \frac{10}{4} $ is equal to `2.5` (2 and a half) because it is possible to make 2 piles of 4 and a pile of 2 (a half pile of 4)

__Example:__ 1 billion (1000000000) divided by 1 million (1000000) is a thousand (1000)

In the case of a non-exact division, it is possible to round the value with a certain number of digits after the decimal point.

### How to make a division without calculator?

At school the Euclidean division is taught, which consists of placing a division by hand, without a calculator, with or without a remainder, dCode has a tool for that: Euclidean division.

### How to calculate a division with big numbers?

DCode uses arbitrary precision calculation algorithms to obtain exact values when dividing big numbers, without scientific notation (billions, trillions and more), up to 1 million digits.

### How to calculate an integer division?

An entire division is similar to a Euclidean division, the principle is not to calculate after the decimal point and to define a remainder.

__Example:__ $ 14/3 = 4 $ remainder $ 2 $

## Source code

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*Division* on dCode.fr [online website], retrieved on 2024-07-30,