You don't have to be "good" at math in the typical sense that people talk about being good at math (e.g. ability to solve large equations flawlessly, or to prove things impeccably, or to do mental math accurately, etc.).

Some skills in math are useful in programming, though. Perhaps is an example from grade-school, the "long division algorithm" aka Euclidian Division that most people learn in primary school. In "real life", most people tend to use a calculator for this -- but learning the steps to do something like this on paper, systematically, is basically what all algorithms and all programs consist of -- it's breaking down a problem into smaller things, solving them systematically, and then at the end you "test" your result to see if it is correct (e.g. multplying the result by the divisor to make sure it yields back the original dividend).

I'm also not good at math; nowadays I usually keep Python open and use it as a "desk calculator". For heavier "real math" problems, I tend to use a computational tool such as Sage to solve the "heavy" mathematical problems, e.g. calculus+, or to graph functions, etc. Or for "math heavy" times I will keep a trusty TI calculator at my desk and do it without the distraction of a full windowing environment that is on the computer. The amount of mathematical power that those handheld calculators provide, whilst running on only a few AA batteries is still amazing to me.

I seem to recall an interview with Bill Gates one time when the interviewer asked him "how much math do you need to know to do computer programming?" and he said something like "addition and subtraction." I don't remember it 100% but that was the gist. Perhaps he exaggerated a little bit in the answer, but not much.