Question

Find two numbers the quotient is between. Then estimate the quotient 284 divided by 5

Answer 1

The quotient is 284 divided by 5, or

284
-----         If you mult. numerator and denominator by 2, you get 578/10, or 57.8.
   5

Try the numbers 550 and 600 (because 574 is between them).  Now divide 550 and 600 by 10; the results will be 55 and 60.  The actual value of 284/5 is between 55 and 60:  57.8 (which you can verify with a calculator).