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Division

Tool for making division calculations, tool compatible with large numbers, arbiotrary precision or arithmetic formulas with variables.

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Division -

Tag(s) : Arithmetics

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# Division

## Search for repeating decimals

### How to calculate a division?

The division operation must be seen as a separation of a number in smaller quantities 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).

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)

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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