Question

find the quotient.
$0.8\overline{)23.2}$

Explanation:

Step1: Convert divisor to integer

Multiply both dividend and divisor by 10 to eliminate the decimal in the divisor: \(0.8\times10 = 8\), \(23.2\times10=232\). Now we have \(8\enclose{longdiv}{232}\).

Step2: Perform long division

How many times does 8 go into 23? \(8\times2 = 16\), \(23 - 16 = 7\). Bring down the 2 to make 72. How many times does 8 go into 72? \(8\times9 = 72\), \(72 - 72 = 0\). So the quotient is \(29\).

Answer:

29