Question

what is the quotient?
28.8 ÷ 9 =
\longdiv{28.8}{9}

Explanation:

Step1: Divide the whole number part

First, we divide the whole number part of the dividend, which is 28, by the divisor 9. We know that \(9\times3 = 27\), so we put 3 above the 8 in the ones place. Then we subtract \(28 - 27=1\).

Step2: Bring down the decimal part

Next, we bring down the 8 from the tenths place, making the new dividend 18 (but since it's in the tenths place, it's actually 1.8). Now we divide 1.8 by 9. We know that \(9\times0.2 = 1.8\), so we put 0.2 next to the 3. Combining these, we get \(3 + 0.2=3.2\).
Alternatively, we can directly perform the division: \(28.8\div9\). We can think of it as \(\frac{28.8}{9}\). Since \(28.8 = 288\times0.1\), then \(\frac{288\times0.1}{9}=\frac{288}{9}\times0.1\). And \(\frac{288}{9} = 32\), so \(32\times0.1 = 3.2\).

Answer:

\(3.2\)