Question

How do you divide $462,058\div 433$?

Answer 1

Hint: In this question we have to perform division for the given expression. We have been given the dividend which is $462,058$ and the divisor for the dividend is $433$. We will use actual division for solving the given question and write the final solution which will be the quotient of the division in the nearest decimal places.

Complete step-by-step solution:
We have the term given to us as:
$\Rightarrow 462,058\div 433$
On performing actual division for the terms, we get:
$433\overset{1067.108}{\overline{\left){\begin{align}
  & 462058 \\
 & \underline{462011} \\
 & \text{ 470} \\
 & \underline{\text{ 433}} \\
 & \text{ 3700} \\
 & \underline{\text{ 3464}} \\
 & \text{ 236} \\
\end{align}}\right.}}$
Therefore, we get the quotient as $1067.108$ which is actually a recurring number since the division of the numbers will keep on recurring therefore, we can write the solution as:
$\Rightarrow 462,058\div 433=1067.108....$

Note: In this question we have performed actual division on the terms. In actual division the various factors are the dividend which is the number to be divided, the divisor which is the number by which the number is to be divided, quotient which is the result of the division and remainder which is the left-out part of the dividend which cannot be divided. Whenever the remainder is lesser than the divisor, a decimal point is to be added in the quotient and a zero should be added to the resultant remainder and then the division should be performed. Terms in division can also be written in terms of a fraction where the dividend represents the numerator of the fraction and divisor represents the denominator of the fraction.