@Darkest Lunar Flower
You can't remove background per se. However, there are plenty of tricks to remove the background. – Simply removing the pure white (#FFFFFF) will have the object fade to write, then sharply become transparent. If the image is compressed in .jpg, it will have a lot of artifacts.
The way I do it to make accurate transition from opaque to transparent; it's easiest if the object has a black outline, otherwise choose the red, green or blue channel that is the darkest. – User curves to make sure the object is pure black and the background is pure white. Now you have an alpha mask.
However, if you simply apply the alpha mask, you will have a double transition; both fading to transparent, and fading to white. What you need to do is to paint on the original image (not the mask), an outline around the object to remove the fading to white (you should of course use the same colour as the object's outline). Now you can apply the alpha mask.
I can make a quick image tutorial if someone is interested.