Question

How do divide $66,253\div 317$?

Answer 1

Hint: To divide larger numbers we will use a long division method. Long division moves from left to right. Here 66,253 is the dividend, 317 is the divisor and we have to find the quotient. By using the long division method we will get the desired answer.

Complete step-by-step answer:
We have been given an expression $66,253\div 317$.
We have to solve the given expression.
Now, we know that to solve larger division, the long division method is the best choice. We will solve the given division by using a long division method.
Now, let us start dividing the terms by long division method. Then we will get
\[317\overset{209}{\overline{\left){\begin{align}
  & 66,253 \\
 & \underline{634} \\
 & 285 \\
 & 000 \\
 & \underline{\overline{\begin{align}
  & 2853 \\
 & 2853 \\
\end{align}}} \\
 & 0 \\
\end{align}}\right.}}\]
Hence on dividing the $66,253\div 317$ we get the quotient as 209.

Note: The possibility of mistake while solving the question is that when we start dividing the terms from left to right we have to consider the number from left which is greater than the divisor. If we get the number less than the divisor at any step than we have to add zero in the quotient. In this question we get 285 which is less than 317 so we add zero to the quotient if not added then we get the quotient as 29 which is an incorrect answer. We can also check our answer by using the formula that $\text{Dividend=quotient}\times \text{divisor+remainder}\text{.}$.
Substituting the values we will get
$\Rightarrow \text{66253=209}\times \text{317+0}\text{.}$
Simplifying the above obtained equation we will get
$\Rightarrow \text{66253=66253}$
Hence the required answer is correct.