i am not sure what level it is

If I have AB = C, where A and C are both 1x6 matrixes and B is a 6x6 matrix, how can I solve for B by dividing C over A? Thanks for any input and help.



It is not clear to me what you really want. Roughly speaking, division by a matrix makes sense only when the matrix is square (that is, n by n) and nonsingular (meaning it has an inverse).
For you to better understand what is possible, why not simplify your problem by changing your 6 to 2:

let A = (1, 2), C = (3, 4), and let B have rows w,x and y,z.

You will see that there are many matrices B that will satisfy the resulting equation
AB = C.