# Question #56b95

Sep 10, 2016

$39.6 \text{ rem } 21$

#### Explanation:

You do not want to divide BY the decimal 2.2

To make 2.2 into a whole number, multiply by 10.
You have to multiply 87.33 by 10 as well.
It is easier to show as a fraction.

$\frac{87.33}{2.2} \times \frac{10}{10} = \frac{873.3}{22}$

Use long division:

$\textcolor{w h i t e}{\times \times} \textcolor{b l u e}{3} \textcolor{red}{9} \textcolor{b r o w n}{.6} \text{ rem } 21$
$22 | \overline{873.3} \text{ "larr " } 87 \div 22 = \textcolor{b l u e}{3}$
$\textcolor{w h i t e}{\times x} \underline{66} \downarrow \text{ "larr " } 3 \times 22 = 66$
$\textcolor{w h i t e}{\times x} 213 \text{ "larr " subtract } 3 \downarrow \left(213 \div 22 = \textcolor{red}{9}\right)$
$\textcolor{w h i t e}{\times x} \underline{198} \downarrow \text{ "larr " } 9 \times 22 = 198$
$\textcolor{w h i t e}{\times \times} 153 \text{ "larr " subtract } 3 \downarrow \left(153 \div 22 = \textcolor{b r o w n}{6}\right)$
$\textcolor{w h i t e}{\times \times} \underline{132} \text{ "larr " } 6 \times 22 = 132$
$\textcolor{w h i t e}{\times \times x} \underline{21} \text{ "larr " subtract}$