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Original
2026-01-01
Modified
2026-02-28
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<p>The<a>long division</a>method is particularly used for non-perfect square numbers. In this method, we should check the closest perfect square number for the given number. Let us now learn how to find the square root using the long division method, step by step:</p>
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<p>The<a>long division</a>method is particularly used for non-perfect square numbers. In this method, we should check the closest perfect square number for the given number. Let us now learn how to find the square root using the long division method, step by step:</p>
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<p><strong>Step 1:</strong>To begin with, we need to group the numbers from right to left. In the case of 882, we need to group it as 82 and 8.</p>
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<p><strong>Step 1:</strong>To begin with, we need to group the numbers from right to left. In the case of 882, we need to group it as 82 and 8.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is 8. We can say n as ‘2’ because 2 x 2 is lesser than or equal to 8. Now the<a>quotient</a>is 2, and after subtracting 4 (2x2) from 8, the<a>remainder</a>is 4.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is 8. We can say n as ‘2’ because 2 x 2 is lesser than or equal to 8. Now the<a>quotient</a>is 2, and after subtracting 4 (2x2) from 8, the<a>remainder</a>is 4.</p>
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<p><strong>Step 3:</strong>Now let us bring down 82, making the new<a>dividend</a>482. Add the old<a>divisor</a>with the same number, 2 + 2, to get 4, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 82, making the new<a>dividend</a>482. Add the old<a>divisor</a>with the same number, 2 + 2, to get 4, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>The new divisor will be 4n. We need to find the value of n.</p>
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<p><strong>Step 4:</strong>The new divisor will be 4n. We need to find the value of n.</p>
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<p><strong>Step 5:</strong>Find 4n x n ≤ 482. Let n be 7, then 47 x 7 = 329.</p>
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<p><strong>Step 5:</strong>Find 4n x n ≤ 482. Let n be 7, then 47 x 7 = 329.</p>
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<p><strong>Step 6:</strong>Subtract 329 from 482, and the difference is 153.</p>
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<p><strong>Step 6:</strong>Subtract 329 from 482, and the difference is 153.</p>
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<p><strong>Step 7:</strong>Since the dividend is<a>less than</a>the divisor, we need to add a<a>decimal</a>point. Adding the decimal point allows us to add two zeros to the dividend. Now the new dividend is 15300.</p>
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<p><strong>Step 7:</strong>Since the dividend is<a>less than</a>the divisor, we need to add a<a>decimal</a>point. Adding the decimal point allows us to add two zeros to the dividend. Now the new dividend is 15300.</p>
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<p><strong>Step 8:</strong>Find the new divisor, which is 594, because 594 x 2 = 1188.</p>
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<p><strong>Step 8:</strong>Find the new divisor, which is 594, because 594 x 2 = 1188.</p>
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<p><strong>Step 9:</strong>Subtracting 1188 from 15300 gives 3412.</p>
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<p><strong>Step 9:</strong>Subtracting 1188 from 15300 gives 3412.</p>
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<p><strong>Step 10:</strong>The quotient is 29.6.</p>
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<p><strong>Step 10:</strong>The quotient is 29.6.</p>
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<p><strong>Step 11:</strong>Continue doing these steps until we get two numbers after the decimal point. If there is no decimal value, continue till the remainder is zero.</p>
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<p><strong>Step 11:</strong>Continue doing these steps until we get two numbers after the decimal point. If there is no decimal value, continue till the remainder is zero.</p>
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<p>So the square root of √882 is approximately 29.70.</p>
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<p>So the square root of √882 is approximately 29.70.</p>
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