I love algebraic long division but it was a dissapointment to find that students didn't always share this love of a nice ordered process. This is my attempt to get students working together checking each others working and discussing methods.
There are sets of triangles that fit together students work together in groups to out them into the correct places. This can be used for either algebraic long division or factor and remainder theorem.
Nice activity, but lacking in variety. I used this as an activity following instruction on long division and had my students use the triangles as a center for a poster about long and synthetic division. Made for some good partner work and reinforcement, but the problems are not varied much. I would have liked more than one that needed placeholders and one with a divisor with a leading coefficient other than one.