Well, in addition to what was provided by the other guide (using books), you can also cheat your way into grinding this skill.
So, to do that,you need to do the following :
Step 1 : Press
, it should open a command box on the top left corner of your screen, press
Step 2 : Type the following into your command box
Traits.equip_trait SteelBladder and then press
Start to gain the trait
SteelBladder.
Step 3 : Now repeat step 2 but instead of
SteelBladder, enter the following traits :
Needs traits : NeverWeary (Energy need never decrease),
ForeverFresh (Hygiene need never decrease),
ForeverFull(Hunger need never decrease),
NeedsNoOne (Social need never decrease). The only need that will keep going down, depending on the skill you're mastering is the "Fun" one.
Useful traits : Savant (Helps learn skills faster),
MorningSim (Helps learn skills faster in the morning)/
NightOwl (Helps learn skills faster during the night), sadly only one of those two can be picked.
{I believe I have listed all the traits I used to master my skills but if I forgot some, I will add them later.}
Once you are done adding all required traits, you buy computer and select "Practice Writing" and then speed the game on the fastest speed and let your Sim level up its Writing skill. Thanks to the traits, unless you have a job, you can go from 0 to 10 in one go.
Yes, its cheap, but since it doesn't disable your achievement, why not?
Hope it is useful! Please do leave your comments if you have anything to add.