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# How to solve square root in division method?

**Step I:** Group the digits in pairs, starting with the digit in the units place. Each pair and the remaining digit (if any) is called a period.

**Step II:** Think of the largest number whose square is equal to or just less than the first period. Take this number as the divisor and also as the quotient.

**
Step III: **Subtract the product of the divisor and the quotient from the first period and bring down the next period to the right of the remainder. This becomes the new dividend.

**Step IV:** Now, the new divisor is obtained by taking two times the quotient and annexing with it a suitable digit which is also taken as the next digit of the quotient, chosen in such a way that the product of the new divisor and this digit is equal to or just less than the new dividend.

**Step V:** Repeat steps (2), (3), and (4) until all the periods have been taken up. Now, the quotient so obtained is the required square root of the given number.

Example:

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