Yes, this was my problem.
Online resizing has the disadvantage that your image could be stored on some server, what you maybe don't want. If you do not have a decent bitmap program installed, you can still use MS paint to resize:
1.) Start MS Paint: click 'Start', 'Programs', 'Accessories', then 'Paint'
2.) Open the image file (JPG) you wish to edit
3.) Click the 'Image' Menu at the top and select "Stretch/Skew Image"
4.) Choose a percentage figure to resize the image, choose the same percentage for horizontal and vertical stretch. Images shot with today's digital cameras are about 3000x2000 - 4000x3000. So e.g. 30% should reduce the image enough to get below 300kb.
5.) Click "Ok"
6.) Click 'File', then 'Save As..' to prevent overwriting the original image
PS.: After resizing, the now smaller image should still be big enough so that we can actually see something (Stella ...

). If your monitor resolution is e.g. 1280x1024, The image should fit your screen but not be significantly smaller.
When you attach the image in your post, it will be further resized to about 640x480 (if you view the post afterwards), but when a user clicks the image title, he will be able to see the bigger size, you have originally posted.