What is a quotient group $\mathbb{Z}_m^*/\langle p\rangle$?

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Ho can I obtain $\mathbb{Z}_m^{*}/\langle p\rangle$?

Where $\mathbb{Z}_m^{*}$ is multiplicative group, i.e. if $m=8$, $\mathbb{Z}_m^{*}=\{1,3,5,7\}$. If $p =17$, what is $\mathbb{Z}_8^{*}/\langle 17\rangle$?