Question

divide. 19.2 ÷ 4

Explanation:

Step1: Divide the integer part

We first divide the integer part of \(19.2\), which is \(19\), by \(4\). \(19\div4 = 4\) with a remainder of \(3\) (since \(4\times4 = 16\) and \(19 - 16=3\)).

Step2: Bring down the decimal part

We bring down the decimal part, which is \(0.2\), making the new dividend \(3.2\) (since we had a remainder of \(3\) and now we consider the decimal part, so \(3 + 0.2=3.2\)).

Step3: Divide the decimal part

Now we divide \(3.2\) by \(4\). \(3.2\div4 = 0.8\) (because \(4\times0.8 = 3.2\)).

Step4: Combine the results

We combine the result from the integer division (\(4\)) and the result from the decimal division (\(0.8\)) to get \(4 + 0.8=4.8\).

Alternatively, we can also think of \(19.2\div4\) as \(\frac{19.2}{4}\). We know that \(19.2 = 192\times0.1\), so \(\frac{192\times0.1}{4}=\frac{192}{4}\times0.1\). Since \(192\div4 = 48\), then \(48\times0.1 = 4.8\).

Answer:

\(4.8\)