Choose any number, say 20, and divide 729 by 20 ignoring any remainders. " 729/20 = 36 " Find the average of 20 and 36. 20 + 36 / 2 = 28. " Repeat the process until the estimate is the same as the quotient (until the remainder is 0). " 729 / 27 = 27.

Answer:

Answer is solved in the explanation below.

Step-by-step explanation:

Solution:

We have to repeat the process until the estimate is  the same as the quotient and remainder = 0. Which can be done only in the case of value = 27 (remainder = 0)

729/27 = 27 (remainder 0)

Let's I am starting this process from 19

So,

729 divided by 19 =  38.3684

Ignoring the remainders

729 divided by 19 = 38

Now, average of 19 and 38 = (19+38)/2 = 28

729 divided by 28 = 26.03

ignoring the remainders = 26

Now, average of 28 and 26 = (28+26)/2= 54/2 = 27

So,

729 divided by 27 = 27

Hence,

estimate is the same as quotient ( and remainder = 0)

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