The "brushed" look of stainless steel sheet is done by a special process during the production of stainless steel sheets. Trying to reproduce these straight-line brushed patterns is impossible by hand, although Accumulator`s post above says it can be done!
Since I have dealt with stainless steel sheet as a mechanical design CAD drafter, sheets come with various finishes in terms of gloss and this brushed-pattern. 2B Milled is very common. There is #4 Brushed, which I assume is what MOST appliances are done in. Then there is #8 Mirror, which as the name applies, has a very reflective mirror-like gloss. There are other designations as well.
What got me is in doing technical drawings that the metal type or grade of the stainless sheet AND the finish needed to be specified on the drawings. And example would be : Stnls Stl Sh, 304, 14 Ga w/ #4 Brshd, 34.00 x 56.45 Lg.
What was also needed was the direction of the grain or brushed pattern orientation for that part. This was especially critical on stainless steel guarding or enclosures used in the food industry. Two guards next to one another could have brush patterns running 90° to one another and it looked "cheap" if this was not done. Supervisors thought I was crazy for putting this "grain direction" with arrows on a sheet metal drawings. That was until a customer had a machine manufacturer remake a guard because it was not "cosmetically aligned" with the other guards or control enclosures (electrical boxes). Sheet metal is not inexpensive, nor is its fabrication. Lesson learned.
Brushed stainless steel sheet metal also comes from the metal manufacturer with a protective plastic sheet adhered to it to protect the sheet from scratches. This protective plastic sheet was usually left on by sheet metal fab shops during the laser cutting (pre-bent part flat pattern)and fabrication (bending or forming, although some HAD to be "selectively" removed) processes. The companies I worked for always left this on during the machine assembly and even shipping to the customer`s plant/factory for the customer to remove to prevent scratching.
I have said this before in other posts about stainless steel, but it bares repeating: IF you want to know what grade of stainless steel you have, take a magnet to it. Some less-expensive (AKA Cheap) grades, like the 400-Series are magnetic because they do not have enough chrome in their metal make-up. These will rust if exposed to water for any length of time. Better stainless types (302, 304, 316) are not magnetic. Many kitchen knives and cutlery made overseas (China, Taiwan) are made with inferior stainless steel, even though they say "Stainless Steel" on the item. Take a magnet to if it is attracted to the metal. If it is, you will know!