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Explanation:

Step1: Convert divisor to integer

To divide \(2.9\) by \(0.8\), we multiply both the dividend and the divisor by \(10\) to make the divisor an integer. So we have \(29\div8\).

Step2: Perform the division

\(8\times3 = 24\), subtract \(24\) from \(29\) we get \(29 - 24=5\). Then we add a decimal point and a zero to \(29\) to make it \(29.0\) (or we can think of it as continuing the division with the remainder \(5\) becoming \(50\) when we add a zero). Now we divide \(50\) by \(8\), \(8\times6 = 48\), subtract \(48\) from \(50\) we get \(50 - 48 = 2\). Add another zero to make it \(20\), divide \(20\) by \(8\), \(8\times2=16\), subtract \(16\) from \(20\) we get \(4\). Add another zero to make it \(40\), divide \(40\) by \(8\), \(8\times5 = 40\), subtract \(40\) from \(40\) we get \(0\). So putting it all together, \(29\div8 = 3.625\).

Answer:

\(3.625\)