In Maple, stepwise calculations are available for a limited number of operations. They include
Differentiation - use the Differentiation Methods tutor in the Student Calculus1 package
Limit - use the Limit Methods tutor in the Student Calculus1 package
Integration - use the Limit Methods tutor in the Student Calculus1 package
Solving a single linear equation - Use the LinearSolveSteps command in the Student Basics package
Expand a product of polynomials - Use the ExpandSteps command in the Student Basics package
Solving a linear or quadratic equation - Use the Equation Manipulator (Assistant) launched from the Context Menu
Finding eigenvalues - use the Eigenvalues tutor in the Student LinearAlgebra package
Finding eigenvectors - use the Eigenvectors tutor in the Student Linear Algebra package
Gauss reduction of a matrix to an upper triangular form - use the Gaussian Elimination tutor in Student LinearAlgebra, or load this package and use the Context Menu options Elementary Operations
Gauss reduction of a matrix to reduced row-echelon form - use the Gauss-Jordan Elimination tutor in Student LinearAlgebra, or load this package and use the Context Menu options Elementary Operations
Invert a matrix - use the Matrix Inverse tutor in Student LinearAlgebra, or load this package and use the Context Menu options Elementary Operations
Obtain an implicit derivative - Use one of three Task Templates in Calculus-Differential/Derivatives/Implicit Differentiation
For most calculations in mathematics, what Maple does "under the hood" is not, in general, useful for the student to experience. Maple commands are coded to produce results, not steps. On the other hand, Maple is robust enough that the individual steps in most calculations can be requested of Maple and assembled to represent a typical "by hands" solution of most problems.
Look at the examples in the "Teaching Concepts" section on the Maple web site. Here, you will find some 150+ examples of how to implement standard calculations in math, from precalculus, through calculus, linear algebra, differential equations, and vector calculus.
In addition, look at the ebook study guides for Calculus and Multivariate Calculus where hundreds of examples in these subjects are presented in a format that begins with a high-level Maple solution, followed by a stepwise solution in which Maple is induced to implement each of the requisite steps.
This two-step approach to using Maple in engineering mathematics can be seen in the Advanced Engineering Mathematics with Maple ebook. For a glimpse of how Maple can be used to augment insight and understanding in some engineering math examples, look at the recorded AEM webinar where six (out of 273) sections in the ebook are demonstrated.
Feel free to contact me if you want details on any of these options.