Another way to publish stories to your blog is in cliffhanger or serial form. At regular intervals you post part of the story, and repeat until you have published the whole thing on your blog. Visitors who like the story will return to read more of it, especiall if you work the post to leave them hanging.
There is one immediate problem with the blog serial story. New blog posts make the old ones scroll down, so your story will read to a casual/unaware visitor as if you started it in the middle or wrote it backward. Placing links to previous parts of the story in every story post can solve this problem.
Another way is to start a fiction blog like this sample blog* I made up tonight with my story Back to Back. There are a few blog templates out there that are story-friendly, and you needn't bother with all the bells and whistles if all you intend to post on the blog is your fiction. Set up a permanent sidebar link to your fiction blog and you're in business.
*I manipulated the post dates so the story would publish to the blog in order.