Final answer:
To divide 33947 by 83, you correctly bring down the 7 to make 747, then determine how many times 83 fits into 747. In calculating with powers of ten, subtract the exponents when dividing like bases and divide the coefficients separately.
Step-by-step explanation:
When dividing 33947 by 83, you must work with the numbers carefully to ensure accuracy. At the point in the division where you have subtracted and are left with 74, and the next number to bring down is 7, you indeed carry the 7 down to make 747. Now you ask, how many times does 83 go into 747? The answer is 9 times because 9 times 83 is 747. The process of long division requires you to subtract the current result (747) from the product of the divisor and the found quotient (9 times 83), which results in 0. The next step would be to continue this process until all digits of the dividend have been used.
As for the concept of division with powers of ten, it is crucial to understand how to simplify expressions when dividing powers of ten, such as subtracting the exponents when the base (10 in this case) is the same. This is similar to the principle demonstrated when dividing 2.4 × 10¹³ by 8 × 10⁷, which reduces to 3 × 10⁵ after simplifying the powers of ten and dividing the coefficients.