Question

Find $\sqrt{289}$

Answer 1

Start dividing the number in groups of 2 starting from right.

Start with the first group i.e. 2 here. Find a square which is smaller than or equal to 2.
$1^2=1,2^2=4$ hence more than 2

Now, bring the second group down
Make the double of the first division as the first term of your divisor.

Write the second term in such a way that term multiplied by the whole number [i.e. 27 $\times$ 7 = 189] is less than the present dividend (i.e. 189)
The quotient will be the answer.