## Division (mathematics) |

This article needs additional citations for . (October 2014) ( |

**Division** is one of the four basic operations of

At an elementary level the division of two ^{[1]}^{:7} This number of times is not always an

The *quotient*, which is the number of times the second one is contained in the first one, and a *remainder*, which is the part of the first number that remains, when in the course of computing the quotient, no further full chunk of the size of the second number can be allocated.

For a modification of this division to yield only one single result, the natural numbers must be extended to *a* = *c* ÷ *b* means *a* × *b* = *c*, as long as *b* is not zero. If *b* = 0, then this is a ^{[a]}^{[4]}^{:246}

Both forms of divisions appear in various

- introduction
- notation
- computing
- division in different contexts
- division by zero
- see also
- notes
- references
- external links

In its simplest form, division can be viewed either as a *twenty divided by five is equal to four*. This is denoted as 20 / 5 = 4, 20 ÷ 5 = 4, or 20/5 = 4.^{[2]} Notationally, the *dividend* is divided by the *divisor* to get a *quotient*. In the example, 20 is the dividend, 5 is the divisor, and 4 is the quotient.

Unlike the other basic operations, when dividing natural numbers there is sometimes a ^{[5]} When the remainder is kept as a fraction, it leads to a *extending the system*.

Unlike multiplication and addition, Division is not *a* ÷ *b* is not always equal to *b* ÷ *a*.^{[6]} Division is also not, in general, ^{[7]} For example, (20 ÷ 5) ÷ 2 = 2, but 20 ÷ (5 ÷ 2) = 8 (where the use of parentheses indicates that the operations inside parentheses are performed before the operations outside parentheses).

Division is, however, distributive, in the sense that (*a*+*b*) ÷ *c* = (*a* ÷ *c*) + (*b* ÷ *c*) for every number. Specifically, division has the right-

This is the same as *not* left-distributive:

which is unlike the case in multiplication.

If there are multiple divisions in a row,the order of calculation traditionally goes from left to right^{[8]}^{[9]}, which is called

- .

Other Languages

Alemannisch: Division (Mathematik)

العربية: قسمة (رياضيات)

aragonés: División

অসমীয়া: হৰণ

Aymar aru: Jaljayaña

azərbaycanca: Bölmə (riyaziyyat)

تۆرکجه: بؤلمه

বাংলা: ভাগ

Bân-lâm-gú: Tû-hoat

башҡортса: Бүлеү

беларуская: Дзяленне

беларуская (тарашкевіца): Дзяленьне

български: Деление

བོད་ཡིག: བགོ་རྩིས།

bosanski: Dijeljenje (matematika)

brezhoneg: Rannadur

буряад: Хубаалта

català: Divisió

čeština: Dělení

chiShona: Kugovanisa

Cymraeg: Rhannu (mathemateg)

dansk: Division (matematik)

Deutsch: Division (Mathematik)

eesti: Jagamine

Ελληνικά: Διαίρεση

español: División (matemática)

Esperanto: Divido

euskara: Zatiketa (matematika)

فارسی: تقسیم

føroyskt: Brot

français: Division

Gàidhlig: Roinn (matamataig)

galego: División (matemáticas)

贛語: 除法

客家語/Hak-kâ-ngî: Chhù-fap

хальмг: Хувалһан

한국어: 나눗셈

հայերեն: Բաժանում (մաթեմատիկա)

हिन्दी: विभाजन (गणित)

hrvatski: Dijeljenje

Ido: Divido (matematiko)

Bahasa Indonesia: Pembagian

interlingua: Division (mathematica)

isiXhosa: Ukwaba/ukwahlula-hlula

íslenska: Deiling

italiano: Divisione (matematica)

עברית: חילוק

Jawa: Paran

ಕನ್ನಡ: ಭಾಗಾಕಾರ

қазақша: Бөлу

kurdî: Parkirin

Кыргызча: Бөлүү

Latina: Divisio (mathematica)

latviešu: Dalīšana

lietuvių: Dalyba

Lingua Franca Nova: Divide (matematica)

magyar: Osztás

македонски: Делење

മലയാളം: ഹരണം

مصرى: قسمه

Mìng-dĕ̤ng-ngṳ̄: Dṳ̀-huák

Mirandés: Debison (matemática)

Nederlands: Delen

日本語: 除法

norsk: Divisjon (matematikk)

norsk nynorsk: Divisjon i matematikk

Novial: Divisione

occitan: Division

ଓଡ଼ିଆ: ହରଣ (ଗଣିତ)

ਪੰਜਾਬੀ: ਤਕਸੀਮ

پښتو: تقسيم

Patois: Divijan (matimatix)

polski: Dzielenie

português: Divisão

română: Împărțire (matematică)

Runa Simi: Rakiy

русский: Деление (математика)

Scots: Diveesion (mathematics)

shqip: Pjesëtimi

sicilianu: Spartuta

Simple English: Division (mathematics)

slovenčina: Delenie (matematika)

slovenščina: Deljenje

Soomaaliga: U qeybin

کوردی: دابەشکردن

српски / srpski: Дељење

srpskohrvatski / српскохрватски: Dijeljenje

suomi: Jakolasku

svenska: Division (matematik)

Tagalog: Paghahati

தமிழ்: வகுத்தல் (கணிதம்)

తెలుగు: భాగహారం

ไทย: การหาร

Türkçe: Bölme

українська: Ділення

اردو: تقسیم (ریاضی)

Vahcuengh: Cawzfap

vèneto: Divixion

Tiếng Việt: Phép chia

Winaray: Pagtunga-tunga

吴语: 除法

ייִדיש: צעטיילונג

粵語: 除

中文: 除法