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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 4264, we need to group it as 42 and 64.</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 4264, we need to group it as 42 and 64.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is closest to 42. We can say n is '6' because 6 x 6 = 36, which is<a>less than</a>or equal to 42. Now the<a>quotient</a>is 6 after subtracting 36 from 42, the<a>remainder</a>is 6.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is closest to 42. We can say n is '6' because 6 x 6 = 36, which is<a>less than</a>or equal to 42. Now the<a>quotient</a>is 6 after subtracting 36 from 42, the<a>remainder</a>is 6.</p>
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<p><strong>Step 3:</strong>Now let us bring down 64, making the new<a>dividend</a>664. Add the old<a>divisor</a>with the same number: 6 + 6 = 12, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 64, making the new<a>dividend</a>664. Add the old<a>divisor</a>with the same number: 6 + 6 = 12, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>We need to find a number n such that 12n x n ≤ 664. Let us consider n as 5, now 125 x 5 = 625.</p>
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<p><strong>Step 4:</strong>We need to find a number n such that 12n x n ≤ 664. Let us consider n as 5, now 125 x 5 = 625.</p>
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<p><strong>Step 5:</strong>Subtracting 625 from 664, the difference is 39, and the quotient is 65.</p>
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<p><strong>Step 5:</strong>Subtracting 625 from 664, the difference is 39, and the quotient is 65.</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 3900.</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 3900.</p>
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<p><strong>Step 7:</strong>Find the new divisor. It will be 130.5 because 1305 x 3 = 3915, which is slightly more than 3900.</p>
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<p><strong>Step 7:</strong>Find the new divisor. It will be 130.5 because 1305 x 3 = 3915, which is slightly more than 3900.</p>
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<p><strong>Step 8:</strong>Subtracting 3915 from 3900 gives a negative value, so adjust n to 2, making 1302 x 2 = 2604.</p>
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<p><strong>Step 8:</strong>Subtracting 3915 from 3900 gives a negative value, so adjust n to 2, making 1302 x 2 = 2604.</p>
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<p><strong>Step 9:</strong>Subtracting 2604 from 3900, we get a remainder of 1296.</p>
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<p><strong>Step 9:</strong>Subtracting 2604 from 3900, we get a remainder of 1296.</p>
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<p><strong>Step 10:</strong>Continue this process until you get a satisfactory level of precision.</p>
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<p><strong>Step 10:</strong>Continue this process until you get a satisfactory level of precision.</p>
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<p>The square root of √4264 is approximately 65.287.</p>
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<p>The square root of √4264 is approximately 65.287.</p>
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