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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 5.39, we need to group it as 5 and 39.</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 5.39, we need to group it as 5 and 39.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is<a>less than</a>or equal to 5. We can say n is ‘2’ because 2 x 2 = 4 is less than or equal to 5. Now the<a>quotient</a>is 2, and after subtracting 4 from 5, the<a>remainder</a>is 1.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is<a>less than</a>or equal to 5. We can say n is ‘2’ because 2 x 2 = 4 is less than or equal to 5. Now the<a>quotient</a>is 2, and after subtracting 4 from 5, the<a>remainder</a>is 1.</p>
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<p><strong>Step 3:</strong>Now let us bring down 39, making it the new<a>dividend</a>. Add the old<a>divisor</a>with the quotient 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 39, making it the new<a>dividend</a>. Add the old<a>divisor</a>with the quotient 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 the sum of the dividend and quotient. Now we get 4n as the new divisor, we need to find the value of n.</p>
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<p><strong>Step 4:</strong>The new divisor will be the sum of the dividend and quotient. Now we get 4n as the new divisor, we need to find the value of n.</p>
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<p><strong>Step 5:</strong>The next step is finding 4n × n ≤ 139. Let us consider n as 3, now 4 x 3 x 3 = 36.</p>
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<p><strong>Step 5:</strong>The next step is finding 4n × n ≤ 139. Let us consider n as 3, now 4 x 3 x 3 = 36.</p>
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<p><strong>Step 6:</strong>Subtract 36 from 139, the difference is 103, and the quotient so far is 2.3.</p>
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<p><strong>Step 6:</strong>Subtract 36 from 139, the difference is 103, and the quotient so far is 2.3.</p>
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<p><strong>Step 7:</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 10300.</p>
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<p><strong>Step 7:</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 10300.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 23 because 463 x 23 = 10649.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 23 because 463 x 23 = 10649.</p>
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<p><strong>Step 9:</strong>Subtracting 10649 from 10300, we get the result -349.</p>
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<p><strong>Step 9:</strong>Subtracting 10649 from 10300, we get the result -349.</p>
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<p><strong>Step 10:</strong>Now the quotient is approximately 2.32.</p>
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<p><strong>Step 10:</strong>Now the quotient is approximately 2.32.</p>
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