Question

What is the quotient of 258 divided by 4.8?

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Hermann

4.6

112 Answers

Multiply the numerator and denominator by: $ 10$
$\frac{2580}{48}$

Write the problem in long division format
$\begin{matrix}48\overline{|2580}\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}$

Divide $ 258 $ by $ 48 $ to get $ 5$
$\begin{matrix}\:\:\:\:\:\:\:\:\:\:5\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\48\overline{|2580}\:\:\:\:\:\:\:\:\:\:\:\:\\\:\:\:\:\:\:\underline{240}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\\:\:\:\:\:\:\:\:180\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}$

Divide $ 180 $ by $ 48 $ to get $ 3$
$\begin{matrix}\:\:\:\:\:\:\:\:\:\:53.\:\:\:\:\:\:\:\:\:\:\:\\48\overline{|2580.0}\:\:\:\:\:\:\:\:\:\\\:\:\:\:\:\:\underline{240}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\\:\:\:\:\:\:\:\:180\:\:\:\:\:\:\:\:\:\:\:\:\\\:\:\:\:\:\:\:\:\underline{144}\:\:\:\:\:\:\:\:\:\:\:\:\\\:\:\:\:\:\:\:\:\:\:360\:\:\:\:\:\:\:\:\:\:\end{matrix}$

Divide $ 360 $ by $ 48 $ to get $ 7$
$\begin{matrix}\:\:\:\:\:\:\:\:\:\:53.7\:\:\:\:\:\:\:\:\:\\48\overline{|2580.00}\:\:\:\:\:\:\:\\\:\:\:\:\:\:\underline{240}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\\:\:\:\:\:\:\:\:180\:\:\:\:\:\:\:\:\:\:\:\:\\\:\:\:\:\:\:\:\:\underline{144}\:\:\:\:\:\:\:\:\:\:\:\:\\\:\:\:\:\:\:\:\:\:\:360\:\:\:\:\:\:\:\:\:\:\\\:\:\:\:\:\:\:\:\:\:\underline{336}\:\:\:\:\:\:\:\:\:\:\\\:\:\:\:\:\:\:\:\:\:\:\:240\:\:\:\:\:\:\:\:\end{matrix}$

Divide $ 240 $ by $ 48 $ to get $ 5$
$\begin{matrix}\:\:\:\:\:\:\:\:\:\:53.75\:\:\:\:\:\:\:\\48\overline{|2580.00}\:\:\:\:\:\:\:\\\:\:\:\:\:\:\underline{240}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\\:\:\:\:\:\:\:\:180\:\:\:\:\:\:\:\:\:\:\:\:\\\:\:\:\:\:\:\:\:\underline{144}\:\:\:\:\:\:\:\:\:\:\:\:\\\:\:\:\:\:\:\:\:\:\:360\:\:\:\:\:\:\:\:\:\:\\\:\:\:\:\:\:\:\:\:\:\underline{336}\:\:\:\:\:\:\:\:\:\:\\\:\:\:\:\:\:\:\:\:\:\:\:240\:\:\:\:\:\:\:\:\\\:\:\:\:\:\:\:\:\:\:\:\:\underline{240}\:\:\:\:\:\:\:\:\\\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:0\:\:\:\:\:\:\:\:\end{matrix}$

The solution for Long Division of $ \frac{258}{4.8} $ is $ 53.75$
$53.75$

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