• Mod[m, n] gives the remainder on division of m by n. • Mod[m,
n, d] uses an offset d. • For integers and Mod[m, n] lies
between 0 and • Mod[m, n, 1] gives a result in the range ,
suitable for use in functions such as Part • Mod[m, n, d] gives
a result • The sign of Mod[m, n] is always the same as the sign
of n, at least so long as m and n are both real. • Mod[m, n] is
equivalent to m - n Quotient[m, n]. • Mod[m, n, d] is equivalent
to m - n Quotient[m, n, d]. • The arguments of Mod can be any
numeric quantities, not necessarily integers. • Mod[x, 1] gives
the fractional part of x. • For exact numeric quantities, Mod
internally uses numerical approximations to establish its
result. This process can be affected by the setting of the
global variable $MaxExtraPrecision • New in Version 1; modified
in 4.