As you have noticed, hangame decided to change their registration to a different design (although still similiar to the layout). So here is the guide for the new layout for people who are having trouble with it.
Credits for Ceres for helping me translate (ima choke you), and Tsunari for making the old registration guide.
NOTE: Before I make this registration, I will NOT make any accounts or provide KSSNs for anyone, I will ignore any PMs related to this, so stop trying.
Now, Let us start!
Please use Internet Explorer (IE) to register, it is preferred as it will most likely prevent any unnecessary errors
To register, click on this link:
http://member.hangame.com/register/index.nhn
You should get this window if you have a working KSSN.
Possible KSSN Errors (Go back and try another one):
1- This page comes out when the KSSN already has three accounts registered (maximum amount)
2- This page comes out when the KSSN is fake or is not certified by the government
3- This page comes out when your parent's KSSN is fake or not certified (only for people who chose to take 14 years and younger age group instead)
4- This error comes out when the KSSN owner has blocked you from registering
5- This error comes when you have a false social security number (KSSN)
Right, Next step~:
For the username validation:

For Address:
After you click on the button, type "자양동" (Copy and paste it) and type it on the search bar, then press enter. You should get the following:
Now, lets continue back to the registration screen:
And That's it. Have fun playing
