Find writable dirs terminal

to find writable files regardless of owner, group or others, you can check the w flag in the file permission column of ls.

ls -l | awk '$1 ~ /^.*w.*/'

$1 is the first field, (ie the permission block of ls -l) , the regular expression just say find the letter "w" in field one. that's all.
if you want to find owner write permission

ls -l | awk '$1 ~ /^..w/'

if you want to find group write permission

ls -l | awk '$1 ~ /^.....w/'

if you want to find others write permission

ls -l | awk '$1 ~ /w.$/'

with subdirs: 

ls -ld `find . -type d` | awk '$1 ~ /w.$/'

ls -ld $(find .) | awk '$1 ~ /w.$/'