Find the value of √7 up to six decimal places by long division method.

Step 1: Since 7 is not a perfect square so we have to take the next greatest perfect square just less than 7 which is 4.

Step 2: Since the remainder is less than the quotient so a decimal is added and two zeroes are added. This becomes the dividend for the next division.

Step 3: The quotient in the previous step is now added with the divisor. A single digit is added at the end and this resulting number is multiplied with the same single digit such that it is less than the dividend for the next division.

Step 4: The remainder in this step is again added with two zeroes and this process continues until we get the number of digits required after decimal point.

Square root is 2.645751