• ← PowerMod
• → QuotientRemainder

Quotient

Quotient (WMA link)

Quotient[m, n]

computes the integer quotient of m and n. For non-complex numbers, this equivalent to Floor[m/n]. When a complex number is involved, it is Round[m/n].

Quotient[m, n, d]

computes the integer quotient of $m-d$ and n. For non-complex numbers, this is equivalent to Floor[(m-d)/n]. When a complex number is involved, it is Round[(m-d)/n].

Plot showing the step-like Floor behavior of Quotient:

• • DiscretePlot[Quotient[n, 5], {n, 30}]

Integer-argument Quotient:

• • Quotient[23, 7]

Rational-argument Quotient:

• • Quotient[19/3, 5/2]

Quotient with inexact numbers:

• • Quotient[4.56, 2.5]

Quotient with two complex numbers is same as Round[m/n]:

• • Quotient[10.4 + 8 I, 4. + 5 I]

Quotient for large integers:

• • Quotient[10^90, NextPrime[10^80]]

Quotient threads elementwise over lists:

• • Quotient[{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, 3]