This might be the best way to unclog a toilet without a plunger, and all it takes is some liquid soap and a small amount of hot water. Use a pan, small bucket, or plastic wastebasket, and fill it with hot water from the tap. Boiling the water isn’t necessary, and in fact, it’s unadvisable, because boiling water can crack your toilet’s porcelain and leave you with much bigger problems than a clog. Plus, you could burn yourself. Just open the hot water tap and let it warm up as hot as it gets -- that should be hot enough.
You’ll also need somewhere between a couple tablespoons and half a cup of liquid soap -- dish soap, hand soap, shampoo, Dr. Bronner’s -- it really doesn’t matter. You also can’t really use too much soap, so don’t be shy.
You can mix the soap into the hot water, or you can dump it into the bowl and pour the hot water on top of it. Pour the hot water carefully from about waist height. This probably goes without saying, but don’t pour so much that your toilet bowl overflows.
The hot water will help to break up the clog, and the soap should lubricate the plumbing so that the material slides down more easily. Once you’ve added the hot water and soap to your toilet bowl, wait a few minutes to see if the water starts to drain. If it does, add more hot water to fill up the bowl. The added weight of water in the bowl should further encourage the clog to continue its journey.
If the clog is severe, the water might not start draining right away, but that doesn’t mean you’re out of luck. Let it sit for about 30 minutes and then come back and check on it. You might find that your toilet is now in working order again.