The calculator allows to find online the quotient and the remainder in the euclidean division of two polynomials or two integers.

The calculator allows to do the euclidean division of polynomials online and the euclidean division of two integers online.

A and B are two **polynomials**, to do **euclidean** **division** of A by B returns
to find polynomials Q and R such that A=BQ+R with degree R< degree B. If R=0, we say that B divides A.
This is sometimes called division shall descending powers.

To perform the quotient and remainder calculator with the calculator, simply enter polynomials and to apply the
euclidean_division function. Thus, for the **quotient and remainder calculator of polynomials **
such as the following : `1+x+x^2` et `x`, enter euclidean_division(x^2+x+1;x) or directly x^2+x+1;x,
if the button euclidean_division already appears, the result `{x^2+x+1=x*(1+x)+1}` is returned. The **quotient**
of the Euclidian division is 1+x and the **remainder** is equal to 1.

a and b are two **integers**, to do **euclidean** **division** of a by b returns to find
integers q et r such that a = bq+r with r < b. If r = 0, we say that b divides a.

To perform the quotient and remainder calculator with the calculator, simply enter the two integers and apply it to
function euclidean_division. Thus, for the **quotient and remainder calculator of two integers**
such as the following : 19 et 3, you must enter euclidean_division(19;3) or directly 19;3,
if the euclidean_division already appears, the result `{19=3*6+1}` is returned. The **quotient** is equal to
6 and the **remainder** of the euclidean division is 1.

- For polynomials divisions
- euclidean_division(polynomial;polynomial) or
- euclidean_division(polynomial/polynomial)
- For integers divisions
- euclidean_division(integer;integer) or
- euclidean_division(integer/integer)

- euclidean_division(`x^2+x+1;x`) returns `{x^2+x+1=x*(1+x)+1}`
- euclidean_division(`(x^2+x+1)/x`) returns `{x^2+x+1=x*(1+x)+1}`
- euclidean_division(`19;3`) returns {19=3*6+1}
- euclidean_division(`19/3`) returns {19=3*6+1}

See also

- Degree of a polynomial : degree. The polynomial degree calculator allows you to determine the largest exponent of a polynomial.
- Calculation of the discriminant online : discriminant. Calculator that allows the calculation of the discriminant of a quadratic equation online.
- Quotient and remainder calculator : euclidean_division. The calculator allows to find online the quotient and the remainder in the euclidean division of two polynomials or two integers.
- Pythagorean theorem calculator : pythagorean. The calculator uses the Pythagorean theorem to verify that a triangle is right-angled or to find the length of one side of a right-angled triangle.
- Solve for x calculator : equation_solver. The equation solver allows to solve equations with an unknown with calculation steps : linear equation, quadratic equation, logarithmic equation, differential equation.
- Valuation of a polynomial : valuation. The valuation function allows to calculate the valuation of a polynomial online.