Standard terminology for the "quotient of a quotient" Let $n$ and $m$ be integers.  One can write
$$
n = mq_0 + r_0
$$ where $0\leq r_0 < m$; the $q_0$ term in the right-hand side is the "quotient". One could then write
$$
q_0 = mq_1 + r_1
$$ where $0\leq r_1 < m$.  What is the standard terminology for the $q_1$  term (the "quotient of the quotient")?  Proceeding inductively, if we define
$$
q_i = mq_{i+1} + r_i
$$ where $0\leq r_i < m$ for all $i\geq 0$, then what is the terminology for the terms $q_0,q_1,q_2,\ldots,$?
I am $not$ applying the Euclidean algorithm here.

It's the algorithm to write the digits of the number n in the numbersystem with base m I think. The $r_k$ are then the digits, but I do not know a name for the $q_k$. $q_0 = \lfloor n / m \rfloor$ ,$q_1 = \lfloor q_0 / m \rfloor$ ...
Example: if $m=10$ One could ask: if $n=1234321$ what is the name for the part $q_0=123432$ ? or for the part $q_2=1234$?
It's not exactly "the leading digits", the best I could name it were " $q_k$ is the floor-function of $n / m^{k+1}$ "
