1. Material Selection: Stainless steels come in various alloys and grades. Before the process, you should select the right stainless steel grade, which will depend on the end product's usage conditions and requirements.

2. Heating: Properly heating the material to the right temperature is crucial for hot shaping stainless steels. Typically, a temperature between 1100-1200°C (2012-2192°F) is used, but it can vary depending on the grade. Heating allows the material to become more plastic and malleable.

3. Shaping: Stainless steel can be shaped using methods such as hot pressing, forging, or rolling to create the desired shape and size for the end product.

4. Cooling: After the shaping process is complete, it's important to cool the material slowly. Rapid cooling can increase the brittleness of stainless steel and affect its internal structure. Controlled cooling in an oven is usually preferred.

5. Heat Treatment (Optional): In some cases, heat treatment can be applied to enhance the strength or improve specific properties of stainless steel. This may involve processes like normalizing or hardening.

6. Finishing Operations: After the shaping process, additional steps may be taken to reduce surface roughness or achieve the desired tolerances on the product. These finishing operations may include grinding, machining, or other mechanical processes.

The hot shaping process is a critical stage for stainless steels to acquire their desired shape and properties. However, it's important to pay attention to the correct temperature, material selection, and process parameters to avoid undesired outcomes or material quality issues. Therefore, hot shaping of stainless steels should be carried out or supervised by experienced experts in the field.