From dust settling in the air to bacteria moving in intercellular fluid (essentially water), the world is filled with examples of motion at extremely low Reynolds number. For example, a bacterium moving at a typical speed of has . Motion at such low Reynolds number is very much at odds with our everyday experience.
The motion of your body and other everyday objects is at high Reynolds number, where inertia plays a central role. When you apply a force to an object, because of its inertia it takes time for it to gain speed. When you remove the force, drag forces don’t cause the object to stop immediately; because of its inertia it takes some time for the object to coast to a stop. Newton’s second law, which relates force and motion, is key to understanding motion at high Reynolds number.
Motion at extremely low Reynolds number couldn’t be more different. After a force is applied, the object reaches its terminal speed almost instantaneously and then moves at constant speed. When the force is removed, the object comes to a dead halt almost instantaneously. Viscosity is so much more important than inertia that there’s no coasting. The only way a tiny organism can move at all is with continuous propulsion; that’s what the hair-like beating cilia and rotating flagella of microorganisms do.