Final answer:
To divide 19 by 789, we perform long division, considering decimal places and significant figures. A calculator can provide the decimal result, but users should adjust for the correct number of significant figures, especially when working with scientific notation where exponents are subtracted and coefficients are divided.
Step-by-step explanation:
Dividing 19 by 789 step by step is essentially the process of long division. To divide 19 by 789, we would write 19 as the dividend and 789 as the divisor. Since 19 is smaller than 789, we inherently work with a number less than 1. Therefore, we can apply division by powers of 10 to make the problem more manageable.
We start by considering decimal places and significant figures. For example, if we have 1.9436 and we want to divide it by 1000, we simply move the decimal point three places to the left, resulting in 0.0019436. When we convert ratios to whole numbers, we divide both sides by the smaller amount to simplify the division.
For instance, when calculating 337/217 using a calculator, we obtain a long decimal answer, but we must take into account the significant figures to report the answer accurately. In scientific notation, we subtract exponents during division but divide the coefficients normally.