Euclidean and decimal division: 6th grade math course in PDF.

Math course on euclidean and decimal division in 6th grade with definition and calculation method with dividend, divisor, quotient and remainder. Use of the calculator and this lesson develops students’ computational skills. The student must master the vocabulary of division and know how to calculate a quotient as well as the different operating techniques to perform or place a division in a row or column in the sixth grade.

I. Euclidean division and divisibility criteria

1. euclidean division


To perform the Euclidean division of a whole number (the dividend) by a non-zero whole number (the divisor) is to find two whole numbers, the quotient and the remainder, such that: dividende=quotient\,\times  \,\,diviseur\,+\,reste with remainder < divisor


Euclidean division

2. Multiples and divisors


The remainder of the Euclidean division of 36 by 9 is 0. Indeed: 36 = 4×9 + 0.

We say that “36 is a multiple of 9”, “36 is divisible by 9”, “9 is a divisor of 36”.

3. Criteria of divisibility by 2, 3, 4, 5, 9 and 10


An integer is divisible by :

  • 2 when it ends in 0, 2, 4, 6 or 8;
  • 3 when the sum of its digits is a multiple of 3;
  • 4 when the number formed by its last two digits is divisible by 4;
  • 5 when it ends with 0 or 5;
  • 9 when the sum of its digits is a multiple of 9;
  • 10 when it ends with 0.


  • 240 is divisible by 2 because it ends in 0 but also by 5 and 10;
  • 65 is divisible by 5 because it ends in 5;
  • 1845 is divisible by 9 because 1+8+4+5=18 and 18 is a multiple of 9;
  • 128 is divisible by 4 because 28 is divisible by 4 in effect 28=7\times  \,4+0.

II. Decimal division


Let a be a decimal number and b an integer other than zero.

To perform the decimal division of a by b is to find the number called quotient

by which to multiply b to obtain a :

a=quotient\times  \,b and quotient=a:b.

Example 1:

Perform the decimal division of 9.2 by 4.

Decimal division

The quotient of 9.2 by 4 is the decimal number 2.3.

Thus 9,2\,=\,2,3\times  \,4 that is to say that 9,2:4=2,3.

Example 2:

Perform the decimal division of 8 by 3.

This division never ends.

The quotient of 8 by 3 is not a decimal number.

In this case, we can give an approximate value of the quotient :

  • 8:3\approx\,2,6 (to the nearest tenth).
  • 8:3\approx\,2,66 (to the nearest hundredth).

Decimal division

Have you assimilated the course on euclidean and decimal division in 6th grade?

La division euclidienne et décimale

Un QCM de maths sur la division euclidienne et décimale en 6ème.

Things to remember:

Skills to learn about Euclidean and decimal division:

what to remember

  • Know the definition of a dividend, divisor, quotient and remainder;
  • Know how to do Euclidean division with integers;
  • Know how to do decimal division;
  • Give an order of magnitude of a quotient;
  • Know how to divide by 10, 100, 1000, 0.1, 0.01, 0.001 etc…

This course is in accordance with the official programs of thenational education.

In addition, you can continue with the exercises on the 4 operations in the sixth grade.

Cette publication est également disponible en : Français (French) العربية (Arabic)

Télécharger puis imprimer cette fiche en PDF

Télécharger ou imprimer cette fiche «euclidean and decimal division: 6th grade math course in PDF.» au format PDF afin de pouvoir travailler en totale autonomie.

D'autres fiches dans la section 6th grade math class

Télécharger nos applications gratuites Mathématiques Web avec tous les cours,exercices corrigés.

Application Mathématiques Web sur Google Play Store.    Application Mathématiques Web sur Apple Store.    Suivez-nous sur YouTube.

D'autres articles analogues à euclidean and decimal division: 6th grade math course in PDF.

  • 92
    Integers: 6th grade math course in PDF.A math course in sixth grade (6ème) In this free lesson on integers, which you can download in PDF format, we will deal with the decomposition and the position of a digit as well as the location on a graduated line in order to be able to compare, afterwards, two…
  • 92
    Proportionality and percentages: 6th grade math course in PDF.Math course on proportionality and percentages This lesson covers the definition of proportionality and its additivity as well as the passage through the unit and percentages as well as the coefficient and the proportionality table. The student should be able to show if a table is proportional or not and…
  • 91
    Quadrilaterals: 6th grade math lessons to download in PDF.A math lesson on quadrilaterals in 6th grade, we will study the definition then the square, the rectangle, the rhombus, the parallelogram. The student should know the definition of a quadrilateral and be able to construct it using geometry equipment (ruler, compass, square and protractor). He will have to master…
Les dernières fiches mises à jour

Voici la liste des derniers cours et exercices ajoutés au site ou mis à jour et similaire à euclidean and decimal division: 6th grade math course in PDF. .

  1. Integrals : corrected high school math exercises in PDF.
  2. Intégrales : exercices de maths en terminale corrigés en PDF.
  3. الوظائف والحدود: تمارين الرياضيات في السنة النهائية مصححة بتنسيق PDF.
  4. Functions and limits: senior math exercises corrected in PDF.
  5. Fonctions et limites : exercices de maths en terminale corrigés en PDF.

Inscription gratuite à Mathématiques Web. Mathématiques Web c'est 2 146 112 fiches de cours et d'exercices téléchargées.

Copyright © 2008 - 2023 Mathématiques Web Tous droits réservés | Mentions légales | Signaler une Erreur | Contact

Scroll to Top
Mathématiques Web