Final answer:To calculate -15 divided by 6 using long division, we find that 6 goes into 15 two times with a negative sign giving -2, and a remainder of -3, which is approximately -2.5 in decimal form.Explanation:The question involves performing long division with negative numbers. To divide -15 by 6 using long division, you place -15 under the division bracket and 6 outside. Since 6 goes into 15 twice (6 × 2 = 12), you write 2 above the division bracket.Since the dividend is negative, the quotient will also be negative, following the rule that when a positive number is divided by a negative number, the answer has a negative sign.You put -12 under -15 and subtract, leaving a remainder of -3.This gives you a result of -2 with a remainder of -3, or in decimal form, approximately -2.5.Understanding the rules of division and the application of division with calculators is essential in mathematics. While a calculator can provide quick answers, it may not always consider the significance of figures, which is why understanding the process of division is crucial for accuracy....

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