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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<a>square root</a>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<a>square root</a>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 1340, we need to group it as 40 and 13.</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 1340, we need to group it as 40 and 13.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is ≤ 13. We can say n as ‘3’ because 3 × 3 = 9 which is<a>less than</a>13. Now the<a>quotient</a>is 3, and after subtracting 9 from 13, 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 ≤ 13. We can say n as ‘3’ because 3 × 3 = 9 which is<a>less than</a>13. Now the<a>quotient</a>is 3, and after subtracting 9 from 13, the<a>remainder</a>is 4.</p>
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<p><strong>Step 3:</strong>Now let us bring down 40, making the new<a>dividend</a>440. Add the old<a>divisor</a>with the same number 3 + 3 = 6, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 40, making the new<a>dividend</a>440. Add the old<a>divisor</a>with the same number 3 + 3 = 6, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>The next step is finding 6n × n ≤ 440. Let us consider n as 7, now 67 × 7 = 469, which is greater than 440. Therefore, try n = 6, then 66 × 6 = 396.</p>
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<p><strong>Step 4:</strong>The next step is finding 6n × n ≤ 440. Let us consider n as 7, now 67 × 7 = 469, which is greater than 440. Therefore, try n = 6, then 66 × 6 = 396.</p>
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<p><strong>Step 5:</strong>Subtract 396 from 440, the difference is 44, and the quotient is 36.</p>
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<p><strong>Step 5:</strong>Subtract 396 from 440, the difference is 44, and the quotient is 36.</p>
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<p><strong>Step 6:</strong>Since the dividend is less than the divisor, we need to add a decimal point. Adding the decimal point allows us to add two zeroes to the dividend. Now the new dividend is 4400.</p>
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<p><strong>Step 6:</strong>Since the dividend is less than the divisor, we need to add a decimal point. Adding the decimal point allows us to add two zeroes to the dividend. Now the new dividend is 4400.</p>
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<p><strong>Step 7:</strong>Now we need to find the new divisor that is 732 because 732 × 6 = 4392.</p>
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<p><strong>Step 7:</strong>Now we need to find the new divisor that is 732 because 732 × 6 = 4392.</p>
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<p><strong>Step 8:</strong>Subtracting 4392 from 4400, we get the result 8.</p>
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<p><strong>Step 8:</strong>Subtracting 4392 from 4400, we get the result 8.</p>
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<p><strong>Step 9:</strong>Now the quotient is 36.6.</p>
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<p><strong>Step 9:</strong>Now the quotient is 36.6.</p>
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<p><strong>Step 10:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose if there are no decimal values, continue till the remainder is zero.</p>
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<p><strong>Step 10:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose if there are no decimal values, continue till the remainder is zero.</p>
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<p>So the square root of √1340 ≈ 36.60.</p>
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<p>So the square root of √1340 ≈ 36.60.</p>
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