wl_apsta.o is firmware for a particular subset of Broadcom wifi chips. If that is what you need, you need to use b43-fwcutter to utilize it. If you don't have it, you can get it through apt. I have modified some instructions from
here, including only what you need (enter the following at the command line):
1. export FIRMWARE_INSTALL_DIR="/lib/firmware"
2. wget
http://downloads.openwrt.org/sources...0.53.0.tar.bz2
3. tar xjf broadcom-wl-4.80.53.0.tar.bz2
4. cd broadcom-wl-4.80.53.0/kmod
5. b43-fwcutter -w "$FIRMWARE_INSTALL_DIR" wl_apsta.o
Or, if you've already downloaded wl_apsta.o, just execute the following: b43-fwcutter -w /lib/firmware wl_apsta.o.