eight times. Place the number 8 above the second pair of digits, and also place the number 8 to the right
of the trial divisor. Thus, the new trial divisor is now 108. Multiply the new trial divisor by 8, and write
the product just under the former remainder (898). Perform the indicated subtraction, and bring down
the next pair of digits (89).
i. To obtain the next trial divisor, double the partial answer (58). Divide the trial divisor (116)
into all but the last digit of the new dividend; it will go into 348 three times. Place the digit 3 to the right
of the decimal point in the quotient immediately above the third pair of digits in the original dividend.
Also, place the 3 to the right of the trial divisor. Thus, the true divisor is 1163. Multiply 1163 by 3 to
obtain a product of 3,489, which is written under the new dividend. Since there is no remainder, you
may consider the figure 3,398.89 as a perfect square, and its square root is 58.3.
j. The final step in the square-root-extraction process should be a check of your work. This
check can be done by squaring 58.3 and arriving at the dividend shown under the radical sign.
EN0591
2-8
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