aFinal answer:
The question relates to dividing whole numbers by two-digit divisors, a topic in middle school mathematics. It involves using long division procedures and remembering rules for division of exponentials and handling significant figures in the result.
Step-by-step explanation:
Dividing whole numbers by two-digit divisors is a mathematics concept usually taught in middle school. To perform division with a two-digit divisor, you need to follow the steps of long division. First, estimate how many times the divisor fits into the initial digits of the dividend, then multiply the divisor by this estimate, and subtract the result from the dividend. Continue this process by bringing down the next digit of the dividend and repeating the steps until you've gone through all digits of the dividend.
When handling division of exponentials, you divide the digit term of the numerator by the digit term of the denominator and simply subtract the exponents. It's important to remember that for multiplication and division, the result should be limited to the lowest count of significant figures from the numbers involved.
For example, in the division problem 8642 ÷ 1300, we would first estimate how many times 13 (ignoring the zeros for now) can fit into 864. Then, we multiply 13 by this estimate and subtract it from 864, bringing down the next digit and continuing the process. Dividing numbers that have decimals, like 0.02099 ÷ 0.12, can require converting them to whole numbers first for ease of calculation.