Here’s a quick PowerShell script which allows you to set the computer description remotely.
You’ll need to run this in a PowerShell window with administrative rights for the remote PC.
$RemotePC = Read-Host -Prompt 'Input the remote computer name e.g. PC0123'
$RemoteDescription = Read-Host -Prompt 'Input the new description for the remote computer'
$PC = Get-WmiObject -class Win32_OperatingSystem -computername $RemotePC
$PC.Description = $RemoteDescription
$PC.Put()