Question

What is 7 divided by 2?

Answer 1

Hint: To find the quotient when 7 is divided by 2, we have to write the dividend in the right side and divisor in the left side. We have to choose the multiples of 2 that are less than or equal to the dividend. We will then write the multiplier in the quotient and the multiple below the dividend. The multiple is subtracted from the dividend. The result is written below, and we call it the remainder. This procedure is followed till the remainder becomes 0. If the digits in the dividend are completely used but the remainder is not yet 0, then we have to add a decimal which is followed by a zero after the dividend and we have to follow the above steps.

Complete step by step solution:
We have to find the value when 7 is divided by 2. We will write it in the following form where the right side will be the dividend and the left side will be the divisor. Here, we can see that 7 is the dividend and 2 is the divisor.
$2\overset{{}}{\overline{\left){7}\right.}}$
Now, we have to choose the multiples of 2 that is less than or equal to the dividend. Hence, we can see that $6<7$ . Hence, we will write 6 below 7 and subtract it from 7. We will get 6 when we multiply 2 with 3. Hence, the quotient will be 3.
\[2\overset{3}{\overline{\left){\begin{align}
  & 7 \\
 & -6 \\
 & \_\_\_ \\
 & \text{ }1 \\
\end{align}}\right.}}\]
We got a remainder as 1. If we get the remainder as 0, we will stop the division process and the quotient will be the required value. As we obtained a non-zero remainder and there are no more digits in the dividend, we must add a decimal which is followed by a zero after the dividend.
\[2\overset{3}{\overline{\left){\begin{align}
  & 7.0 \\
 & -6 \\
 & \_\_\_ \\
 & \text{ }1 \\
\end{align}}\right.}}\]
Now, we must take the next digit in the dividend, that is, 0, down next to 1.
\[2\overset{3}{\overline{\left){\begin{align}
  & 7.0 \\
 & -6 \\
 & \_\_\_ \\
 & \text{ }10 \\
\end{align}}\right.}}\]
We know that $2\times 5=10$ . Hence, we will write 5 in the quotient. Since we added a zero and this 5 is obtained when we used the decimal, we will add a decimal point after 3 and write 5. We will then subtract 10 from 10 and write the value.
\[2\overset{3.5}{\overline{\left){\begin{align}
  & 7.0 \\
 & -6 \\
 & \_\_\_ \\
 & \text{ }10 \\
 & -10 \\
 & \_\_\_\_ \\
 & \begin{matrix}
   {} & 0 \\
\end{matrix} \\
\end{align}}\right.}}\]
We obtained the remainder as 0. Hence, we have completed the division.
Therefore, when 7 is divided by 2, the quotient will be 3.5.

Note: Students must know what dividend, divisor, quotient and remainder are. Dividend is the number to be divided. Divisor is the number that divides the dividend. We can say that quotient is the number that we get when a dividend is divided by a divisor. Remainder is a number left after dividing.