# What is the quotient of 15015 by 15?

Jun 18, 2018

$1001$

#### Explanation:

We can rewrite $\frac{15015}{15}$ as

$\textcolor{b l u e}{\frac{15000}{15}} + \textcolor{red}{\frac{15}{15}}$

This simplifies to

$\textcolor{b l u e}{1000} + \textcolor{red}{1}$

Which is

$1001$

Hope this helps!

Jun 18, 2018

1001

#### Explanation:

$15015 \div 15$

Notice that the digits that are not 0's are both 15.

Lets split the 15015 (partition it) into $15000 + 15$

$15000 \div 15 = 1000$
$\underline{\textcolor{w h i t e}{150} 15} \div 15 = \underline{\textcolor{w h i t e}{100} 1 \leftarrow \text{ Add}}$
$15015 \div 15 = 1001$

Jun 21, 2018

$1001$

#### Explanation:

$\textcolor{w h i t e}{\ldots .} \textcolor{w h i t e}{. .} 1001$
$15 | \overline{15015}$
$\textcolor{w h i t e}{\ldots \ldots .} \underline{15}$
$\textcolor{w h i t e}{\ldots \ldots \ldots .} 015$
$\textcolor{w h i t e}{\ldots \ldots \ldots .} \underline{015}$

$15015 \div 15 = 1001$