Delete, deactivate or close Instagram Account: Simple Steps

1. Go to instagram.com and log into your account.

       (https://instagram.com/accounts/login/)

2. Click your username or profile picture in the upper-right corner of the page.

3. Select Edit Profile from the dropdown.

4. Click I'd like to delete my account in the lower-right corner.

Note: 

When you delete your account, your photos, comments, likes, and friendships will be removed permanently and will not be recoverable. We cannot reactivate accounts. Additionally, you will not be able to sign up with the same username again.

Read More:

http://help.instagram.com/448136995230186/

http://www.youtube.com/watch?v=GW6Zba9efek

http://www.wikihow.com/Delete-an-Instagram-Account

http://lisamariediasdesigns.com/2012/12/18/close-delete-instagram-account/

http://consumerist.com/2012/12/18/so-heres-how-you-delete-your-instagram-account/