Is there an official name for "divisor minus remainder"? For example,
$16 \div 3 = (5, 1)$
where $16$ is the dividend, $3$ is the divisor, $5$ is the quotient, $1$ is the remainder.
But what about $2$ ?
Here $2 = 3 - 1$.
Is there an official name for this kind of remainder?
e.g. co-remainder? (or something like that)
Thanks.
 A: Considering the divisor $d$ to be the modulus, and the remainder $r$ to be the residue, the difference $a=d-r$ is by definition the additive inverse of the residue, i.e. the number which when added to $r$ gives a sum which falls in the residue class $0$, viz: $r+a\equiv 0 \bmod d$
A: I don't know of a tidy name, but I kind of know why you might want to use it.
In modular arithmetic, we bunch numbers together based on their difference being a multiple of a fixed number (in this case, $3$). Then $3-1=2$ is in the same bunch ("congruence class modulo $3$") as $-1$. And $2+1=3$ is in the same class as $0$. So this number $2$ is related to the "negative" or "additive inverse" or the original number $1$ and/or the congruence class of $1$. We sometimes want to move from thinking about to whole class back to the one number in the class that could be a remainder (in this case, $0$, $1$, or $2$), called the "residue".
So a long name for the idea might be like "the residue of the negative class (modulo $3$)".
