How to make padding:auto work in CSS?

auto is not a valid value for padding property, the only thing you can do is take out padding: 0; from the * declaration, else simply assign padding to respective property block.

If you remove padding: 0; from * {} than browser will apply default styles to your elements which will give you unexpected cross browser positioning offsets by few pixels, so it is better to assign padding: 0; using * and than if you want to override the padding, simply use another rule like

.container p {
   padding: 5px;
}