Solve the square root of 56701 by dividing method ?

To solve the square root of 56701 using the division method, we will follow these steps:

1. Start by grouping the digits in pairs from right to left: 56 70 1
2. Find the largest number whose square is less than or equal to 56, which is 7 (7^2 = 49).
3. Subtract 49 from 56, and bring down the next pair of digits: 70 1
4. Double the quotient (7) to get 14, and write it as the divisor with a blank space for the next digit in the quotient.
5. Find the largest number that, when added to 140, gives a product less than or equal to 707 (the number formed by the next pair of digits), which is 5 (145 * 5 = 725).
6. Subtract 725 from 707, and bring down the next pair of digits: 1
7. Double the current quotient (145) to get 290, and write it as the divisor with a blank space for the next digit in the quotient.
8. Since there are no more pairs of digits to bring down, we have found the square root of 56701 to be 145.

Therefore, the square root of 56701 is 145.