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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 check the closest perfect square number for the given number. Let's 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 check the closest perfect square number for the given number. Let's 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 2036, we group it as 36 and 20.</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 2036, we group it as 36 and 20.</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 20. We can say n is '4' because 4 x 4 = 16 is less than 20. The<a>quotient</a>is 4, and the<a>remainder</a>is 4 after subtracting 16 from 20.</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 20. We can say n is '4' because 4 x 4 = 16 is less than 20. The<a>quotient</a>is 4, and the<a>remainder</a>is 4 after subtracting 16 from 20.</p>
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<p><strong>Step 3:</strong>Now let us bring down 36, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the quotient, 4 + 4, to get 8, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 36, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the quotient, 4 + 4, to get 8, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>Finding 8n × n ≤ 436, let us consider n as 5, now 8 x 5 x 5 = 400</p>
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<p><strong>Step 4:</strong>Finding 8n × n ≤ 436, let us consider n as 5, now 8 x 5 x 5 = 400</p>
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<p><strong>Step 5:</strong>Subtract 400 from 436, the difference is 36, and the quotient is 45</p>
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<p><strong>Step 5:</strong>Subtract 400 from 436, the difference is 36, and the quotient is 45</p>
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<p><strong>Step 6:</strong>Since the dividend is less than the divisor, we add a decimal point. Adding the decimal point allows us to add two zeroes to the dividend. Now the new dividend is 3600.</p>
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<p><strong>Step 6:</strong>Since the dividend is less than the divisor, we add a decimal point. Adding the decimal point allows us to add two zeroes to the dividend. Now the new dividend is 3600.</p>
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<p><strong>Step 7:</strong>We need to find the new divisor that is 901 because 901 x 4 = 3604</p>
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<p><strong>Step 7:</strong>We need to find the new divisor that is 901 because 901 x 4 = 3604</p>
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<p><strong>Step 8:</strong>Subtracting 3604 from 3600 gives us the result -4.</p>
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<p><strong>Step 8:</strong>Subtracting 3604 from 3600 gives us the result -4.</p>
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<p><strong>Step 9:</strong>The quotient is approximately 45.116</p>
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<p><strong>Step 9:</strong>The quotient is approximately 45.116</p>
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<p><strong>Step 10:</strong>Continue doing these steps until we get two numbers after the decimal point, or 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, or continue till the remainder is zero.</p>
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<p>So the square root of √2036 ≈ 45.116</p>
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<p>So the square root of √2036 ≈ 45.116</p>
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