Ukwaba/ukwahlula-hlula

Kwimathematika, igama "**division**" lithetha isenzo esintsingiselo yaso ichaseneyo naleyo yokuphinda-phinda. Uphawu lokwahlulahlula okanye loku-divid-a lungangumgcana okhombe phantsi naphezulu nobizwa ngokuba si- slash, umgca, okanye uphawu lokwahlula-hlula ongulo (\div), njengakulo mzekelo:
: 6/3\, &nbsp;&nbsp; or &nbsp;&nbsp; \frac 63 &nbsp;&nbsp; or &nbsp;&nbsp; 6 \div 3. 
Umzekelo ngamnye kule mizekelo mithathu,  uthetha ukuthi "u-6 xa ehlulwa-hlulwa ka-3" sifumana isiphumo esingu-2. Inanani  lokuqala kwezi nombolo libizwa ngokuba yi-**dividend** (6), lize elesibini libizwe ngokuba yi-**divisor** (3). Inani elisisiphumo nelilelesithathu kula manani libizwa ngokuba y-i-quotient. Amanani apheleleyo, nasiphi   isixa senani esiphokelayo kwinani elipheleleyo sibizwa ngokuba y-"intsalela" (njengaku-14/4 sifumana u-3 olinani elipheleleyo kodwa kubekho inani eliphokela ngalo elingu-2, njengenani elingu-3+2⁄4, kananjalo naku-3+1⁄2 okanye ku-3.5).

amanani asenokubamakhulu kakhulu, njengenani elingamakhulu amabini: 200/5 = 40, okanye libe izigidi-gidi :ezisi-7&nbsp; 7,000,000,000&nbsp;/&nbsp;1000&nbsp;= 7,000,000 (lilingana nesi-7 sezigidi).

## Xa sithetha ngophinda-phindo lwamanani
Ukuba u-*c* uphinda-phindwa ngo-b ulingana no-*a*, ubhalwa nngolu hlobo:
: c \times b = a
apho u-b angengo-zero, ngoko ke u-*a* owahlulwe ngo-*b* ulingana no-*c*, ubhalwa ngolu hlobo:
: \frac ab = c
Umzekelo, 
: \frac 63 = 2
kuba
: 2 \times 3 = 6.
Kule ntetho ingasentla, *u-a* ubizwa ngokuba y**idividend**, *u-b* abey**i-divisor** aze u-*c* abey**i-quotient**.

Ukwahlula-hlula ngo-zero
: \frac x0 = ?
...ayichazeki.

## I-Notation
Ukwahlula-hlula kusoloko kubonakaliswa ngokubeka i-*dividend* ngaphezulu kwe-*divisor* zize zahlulwe ngomgca o-horizontal,nawo ubizwa ngokuba yi-vinculum, phakathi kwazo. Umzekelo, u- *a* owahlulwahlulwe ngo-*b* ubhalwa ngolu hlobo:
: \frac ab.
Oku kungafundwa ngokuvakalayo atsho eve nomameleyo ngolu hlobo "u-a xa esahlulwa ngo-b" okanye "u-a ephezu ko-b". indlela yokuchaza kuvokotheke ngokwahlula okanye ngokwaba ngomgca nje omnye kuophela kuxa kubhalwa i-*dividend*, ize emva koko kubhalwe umgca okekelele ngasekunene i-slash, ngaphantsi kwawo ibe yi-*divisor*, ngolu hlobo:
: a/b.\,
Le yindlela eqhelekileyo yokucacisa ngokwahlula-hlula (ukwaba okanye i-division) kw-ii-lwimi ze-programming seyenziwa ngekhompyutha kuba isenokuchwethezwa lula njengeempawu ezilandelelana ngokuqhelekileyo.  

I-typographical variation ephakathi kwezi ndlela zimbini isebenzisa i-slash kodwa inyusela elevates i-dividend, ize yehlisele i- divisor:
: *a*⁄*b* .
Nayiphi na indlela kwezi zimbini ingasetyenziswa ukubonisa i-fraction. I-fraction yintetho esetyenziswa ukubeka i-division apho i-dividend kunye ne-divisor zizi-integers (nangona zaziwa ngokuba ziyi- *numerator* ne-*denominator*). I-fraction yindlela eyamkelekileyo yokubhala amanani.  Akunto isoloko ilindelekile ukubhalwa nge-decimal kwesiphumo esivela xa kusabiwa okanye xa kusahlula-hlulwa.  

Eyona ndlela ingaxhaphakanga kuyaphi ukubonisa i-division (ukwaba okanye ukwahlula-hlula) kukusebenzisa i-obelus (okanye uphawu lwe-division) ngale ndlela:

Kodwa kwizibalo zamabanga okuqala okanye aphantsi, olu phawu lusetyenziswa rhoqo.  I-obelus ikwasetyenziswa iyodwa ukuze imele ukusebenza kwe-division, njengakwi-label kwi-key ye-calculator.

Kwezinye iintlanga ezingathethi siNgesi, u-"a owahlulwe ngo-*b*" ubhalwa ngolu hlobo *a* : *b*. Nangona kunjalo, ngokwentetho yesiNgesi i- colon iphelela ekubizeni amagama anxulumene nee-ratios (u-*a*:*b* ubizwa ngokuba ngu-"*a* is to *b*").

## amaphepha anxulumene neli
* Divisor, another meaning as a number which evenly divides an amount
* Division by two
* Remainder

## Other websites
* Division on a Japanese abacus selected from Abacus: Mystery of the Bead
* Chinese Short Division Techniques on a Suan Pan
* Rules of divisibility