Question

The total area of a museum is 1875 sq. yard. The museum is to be divided equally into 18 rooms. Then form the division equation and find the quotient and the remainder.

• A. Quotient $=144$
  Remainder $=3$
• B. Quotient $=104$
  Remainder $=5$
• C. Quotient $=104$
  Remainder $=3$
• D. Quotient $=410$
  Remainder $=5$

Answer 1

The correct option is C Quotient $=104$

Remainder $=3$
Total area of the museum = $1875$ sq. yard
There are total 18 rooms.
So, the area of each room will be $=Totalarea÷No.ofrooms$.
$=1875sq.yard÷18$.

Now by applying distributive property, $1875$ can be broken down as:
$1875=1800+75$.

So, $1875÷18=1800÷18+75÷18$.

∴ Calculating $1875÷18$ by box method of division, we get the following:


∴ The final quotient becomes $104$ and the remainder becomes $3$.