Thanks for that. I was going to ask that very question, so your answer is both helpful and intelligent in its anticipation 
Before I do, this is what I get in the terminal
dpkg: error processing archive /var/cache/apt/archives/linux-image-linuxlite-4.0.0_0010_amd64.deb (--unpack):
subprocess new pre-installation script returned error exit status 1
Examining /etc/kernel/postrm.d .
run-parts: executing /etc/kernel/postrm.d/initramfs-tools 4.0.0-linuxlite /boot/vmlinuz-4.0.0-linuxlite
run-parts: executing /etc/kernel/postrm.d/zz-update-grub 4.0.0-linuxlite /boot/vmlinuz-4.0.0-linuxlite
Preparing to unpack .../linux-headers-linuxlite-4.0.0_0010_amd64.deb ...
Unpacking linux-headers-linuxlite-4.0.0 (0010) over (0010) ...
Errors were encountered while processing:
/var/cache/apt/archives/linux-image-linuxlite-4.0.0_0010_amd64.deb
E: Sub-process /usr/bin/dpkg returned an error code (1)
A package failed to install. Trying to recover:
Setting up linux-headers-linuxlite-4.0.0 (0010) ...
Examining /etc/kernel/header_postinst.d.
run-parts: executing /etc/kernel/header_postinst.d/dkms 4.0.0-linuxlite /boot/vmlinuz-4.0.0-linuxlite
Error! Bad return status for module build on kernel: 4.0.0-linuxlite (x86_64)
Consult /var/lib/dkms/bcmwl/6.30.223.248+bdcom/build/make.log for more information.
Error! Bad return status for module build on kernel: 4.0.0-linuxlite (x86_64)
Consult /var/lib/dkms/virtualbox-gue
Does this give any clue as to the problem?

Before I do, this is what I get in the terminal
dpkg: error processing archive /var/cache/apt/archives/linux-image-linuxlite-4.0.0_0010_amd64.deb (--unpack):
subprocess new pre-installation script returned error exit status 1
Examining /etc/kernel/postrm.d .
run-parts: executing /etc/kernel/postrm.d/initramfs-tools 4.0.0-linuxlite /boot/vmlinuz-4.0.0-linuxlite
run-parts: executing /etc/kernel/postrm.d/zz-update-grub 4.0.0-linuxlite /boot/vmlinuz-4.0.0-linuxlite
Preparing to unpack .../linux-headers-linuxlite-4.0.0_0010_amd64.deb ...
Unpacking linux-headers-linuxlite-4.0.0 (0010) over (0010) ...
Errors were encountered while processing:
/var/cache/apt/archives/linux-image-linuxlite-4.0.0_0010_amd64.deb
E: Sub-process /usr/bin/dpkg returned an error code (1)
A package failed to install. Trying to recover:
Setting up linux-headers-linuxlite-4.0.0 (0010) ...
Examining /etc/kernel/header_postinst.d.
run-parts: executing /etc/kernel/header_postinst.d/dkms 4.0.0-linuxlite /boot/vmlinuz-4.0.0-linuxlite
Error! Bad return status for module build on kernel: 4.0.0-linuxlite (x86_64)
Consult /var/lib/dkms/bcmwl/6.30.223.248+bdcom/build/make.log for more information.
Error! Bad return status for module build on kernel: 4.0.0-linuxlite (x86_64)
Consult /var/lib/dkms/virtualbox-gue
Does this give any clue as to the problem?