A divide by zero error in a chi-squared test occurs when the expected value is zero, making the test statistic calculation impossible. The chi-squared test is unreliable with expected frequencies below 5, and especially with zero. In such cases, a Fisher's Exact Probability Test is recommended for 2x2 contingency tables with small expected frequencies, typically less than 10. If neither test is suitable for the data, alternative methods may need to be explored. It is crucial to ensure that expected frequencies are adequate for accurate statistical analysis.