Question

What is 69 divided by 26?

Answer 1

Hint: We are given a question to compute the arithmetic division on the given numbers. We are asked to carry out the division of \[\dfrac{69}{26}\], where 69 is the numerator which is to be divided by the denominator which is 26. So, we will have the number 69 divided by the number 26 such that we will have the answer as a decimal number, that is, a number with a decimal point.

Complete step by step answer:
According to the given question, we are given two numbers on which we have to carry out the long division arithmetic operation.
We will first write the given statement as a mathematical expression, we get the expression as,
\[\dfrac{69}{26}\]
Here, 69 is the numerator which we have to divide by the denominator, which is, 26. So, we will have long division arithmetic operation which is as follows,
Firstly, we will have,
\[26\overline{\left){69}\right.}\]
We can see that, we will have to first have to take two times 26, which is,
\[26\overset{2}{\overline{\left){\begin{align}
  & 69 \\
 & \underline{-52} \\
 & 17 \\
\end{align}}\right.}}\]
Now, adding a decimal point, we now will have to multiply by 6 times 26, we have,
\[26\overset{2.6}{\overline{\left){\begin{align}
  & 69 \\
 & \underline{-52} \\
 & 170 \\
 & \underline{-156} \\
 & 140 \\
\end{align}}\right.}}\]
Next, we will have 5 times 26 and we get,
\[26\overset{2.65}{\overline{\left){\begin{align}
  & 69 \\
 & \underline{-52} \\
 & 170 \\
 & \underline{-156} \\
 & 140 \\
 & \underline{-130} \\
 & \_\underline{10} \\
\end{align}}\right.}}\]
So, we have the required answer as the quotient of our long division operation. And we can see that the quotient has a decimal point as well.
Therefore, \[\dfrac{69}{26}=2.65\]

Note: The long division arithmetic operation should be carried out step wise, so that there remain no chances of mistakes. Also, the decimal point is applied in the quotient when the remainder is not zero and also it is not greater than the divisor to get divided, so a decimal point is added to continue the division operation.