  Debris disks, the tenuous rocky and icy remnants of planet formation, are
believed to be evidence for planetary systems around other stars. The
JCMT/SCUBA-2 debris disk legacy survey 'SCUBA-2 Observations of Nearby Stars'
(SONS) observed 100 nearby stars, amongst them HD~76582, for evidence of such
material. Here we present imaging observations by JCMT/SCUBA-2 and
\textit{Herschel}/PACS at sub-millimetre and far-infrared wavelengths,
respectively. We simultaneously model the ensemble of photometric and imaging
data, spanning optical to sub-millimetre wavelengths, in a self-consistent
manner. At far-infrared wavelengths, we find extended emission from the
circumstellar disk providing a strong constraint on the dust spatial location
in the outer system, although the angular resolution is too poor to constrain
the interior of the system. In the sub-millimetre, photometry at 450 and
850~$\mu$m reveal a steep fall-off that we interpret as a disk dominated by
moderately-sized dust grains ($a_{\rm min}~=~36~\mu$m), perhaps indicative of a
non-steady-state collisional cascade within the disk. A disk architecture of
three distinct annuli, comprising an unresolved component at $\sim$ 20 au and
outer components at 80 and 270 au, along with a very steep particle size
distribution ($\gamma~=~5$), is proposed to match the observations.
