Question

What is 660 divided by 12?

Answer 1

Hint: We shall use the long division method to obtain the result of the above question. Here, we need to divide 660 by 12 which means that 660 is the dividend and 12 is the divisor. We need to obtain the quotient and the remainder. We get the remainder as 0 therefore, we know that 660 is divisible by 12.

Complete step-by-step solution:
In order to solve this question, let us use the long division approach. Given, we need to obtain the result for 660 divided by 12. For this, we know that the number 660 is known as the dividend and 12 is known as the divisor. We now represent this in the form of long division.
$\Rightarrow 12\overline{\left){660}\right.}$
We now consider the first 2 digits of the dividend and check for the number which is a multiple of 12 which is less than or equal to 66. From the table of 12, we know that 12 multiplied by 5 gives us 60. Using this,
$\Rightarrow 12\overset{5}{\overline{\left){\begin{align}
  & \text{ 66}0 \\
 & \underline{-60} \\
 & +06 \\
\end{align}}\right.}}$
Now, we need to bring the next digit which is 0 down.
$\Rightarrow 12\overset{5}{\overline{\left){\begin{align}
  & \text{ 66}0 \\
 & \underline{-60\downarrow } \\
 & +060 \\
\end{align}}\right.}}$
Now again from the table of 12, we know that 12 multiplied by 5 gives us 60. Therefore, using this in the long division approach,
$\begin{align}
  & \Rightarrow 12\overset{55}{\overline{\left){\begin{align}
  & \text{ 66}0 \\
 & \underline{-60\downarrow } \\
 & +060 \\
 & \underline{-\text{ 60}} \\
\end{align}}\right.}} \\
 & \text{ 0} \\
\end{align}$
This gives us the quotient as 55 and a remainder as 0. Since we have obtained the remainder as 0, no further division is possible and the quotient represents the answer of the division. The quotient obtained for this above problem is 55.
Hence, the value of 660 divided by 12 is 55.

Note: It is important to know the basic concepts of long division. We can divide even decimals or integers to obtain decimals using the long division method. We can also solve this question by factorization by dividing 660 by 12 and cancelling out the common factors. The obtained result is the same as the result of division.