Final answer:
To estimate the quotient, round the numbers and perform the division. Compare the estimate to the actual quotient.
Step-by-step explanation:
To estimate the quotient of 117,743 divided by 19, we can round both numbers to the nearest ten-thousand. This gives us 120,000 divided by 20, which is 6,000.
Using a calculator to divide 117,743 by 19 gives us a quotient of 6,189.63.
Comparing the estimate (6,000) to the actual quotient (6,189.63), we can see that the estimate is lower than the actual quotient.