On computing basis of ideal quotient (Ideal, Varities, and Algorithms p.197, 3rd edition), one needs to divide ideal with a polynomial. How can you do it in Macaulay 2?
Divide all elements of ideal with polynomial in Macaulay 2?
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Thanks to Emanuele who would use substitution command such as below. For algorithms such as computing the quotient ideal, please note that each term must be divisible by x like the example.