"in step with one another" is correct and usable in written English.
It is an idiom used to mean that two or more people are working together in a cooperative way, or that they are moving or acting at the same time or in the same way. For example, "The two colleagues worked in step with one another to design the new website."
We weren't particularly in tune or in step with one another.
Photons moving in step with one another is what makes laser light so bright and concentrated and, in some instances, so potent.
Designers are looking at the same things — art exhibitions, fashionable parties, rock stars — so their impulses are often surprisingly in step with one another.
Emily's Walking Book Club works on the premise that it is easiest to talk to someone when you fall in step with one another, side-by-side.
What makes lasers so attractive for defense is their tight beams of coherent radiation, waves of electromagnetic energy that move in step with one another.
Similarly, all signals radiated by the individual elements of the antenna will be in step with one another in some specific direction.
What was going on in the gyms and juice bars marched in step with one of the big ideas in medicine in the 80s and early 90s - the link between lifestyle and heart disease.
Gates observed that at the time, prevailing business and political interests were so in step with one another much as they are today that health care reform was nearly impossible to push through, and Clinton seemed to agree.
In step with One University goals to foster interdisciplinary collaboration across divisions, Bennett will direct Space@Hopkins, a new space studies initiative.
In step with one of the league's growing trends, this class has an assortment of great point guards.
All that surrounded me was peace: young people whizzing by on bicycles, backpacks on their backs; a white-haired couple with canes, keeping in slow step with one another; a middle-aged man walking a small dog who trotted smartly along the edge of a green park.
