Identify which of these are true when an integer is divided by a positive integer.

Multiple select question.

$($a$$mod$$d$)=-$a$$mod$$d

d$|$a if and only if a$$mod$$d$=0$

a$=$d$($a$$div$$d$)+$ a$$mod$$d

$0$div$$d$=0$ for all d $0$

$0$mod$$d$=0$ for all d

$($a$$div$$d$)=-$a$$div$$d