QQuestionMathematics
QuestionMathematics
What is 100 divided by 8 using long division?
Show your work.
12 months agoReport content
Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1:: Set up the long division problem.
\[ \begin{array}{l} \underline{8}\ \ | \ 100 \ \ \ \ \ \ \ \ \ \ \ \ \end{array} \]
Step 2:: Determine how many times 8 goes into the first digit (1) of the dividend (100).
Since 8 is greater than 1, we look at the first digit only. However, since 8 cannot go into 1, we move on to the next step.
Step 3:: Since 8 cannot go into the first digit (1) of the dividend (100), we consider the first two digits (10).
Now, we ask how many times 8 goes into 10. 8 goes into 10 once, with a remainder of 2. \[ \begin{array}{l} \underline{8}\ \ | \ 100 \ \ \ \ \ \ 1\ \end{array} \]
Step 4:: Bring down the next digit (0) and multiply the quotient (1) by the divisor (8).
Write the result (8) under the line. \[ \begin{array}{l} \underline{8}\ \ | \ 100 \ \ \ \ \ \ 1\ \ \ \ \underline{8\ \ \ \ \ \ } \end{array} \]
Step 5:: Subtract the number under the line (8) from the number above the line (10), and write the result (2) under the line.
\[ \begin{array}{l} \underline{8}\ \ | \ 100 \ \ \ \ \ \ 1\ \ \ \ \underline{8\ \ \ \ \ \ } \ \ \ \ \ \ \ 2\ \end{array} \]
Step 6:: Since the remainder (2) is less than the divisor (8), we add a decimal point and a zero to the dividend.
Now, we ask how many times 8 goes into 20. 8 goes into 20 twice, with a remainder of 4. \[ \begin{array}{l} \underline{8}\ \ | \ 100.0 \ \ \ \ \ \ 12\ \ \ \ \underline{16\ \ \ \ \ \ } \ \ \ \ \ \ \ 4\ \ \ \end{array} \]
Step 7:: Since the remainder (4) is less than the divisor (8), we cannot continue the long division process.
Thus, the quotient is 12 with a remainder of 4. However, since we are dividing by a whole number, there is no remainder. Therefore, we adjust the quotient to 12.5 by moving the decimal point one place to the left in the quotient.
Final Answer
100 divided by 8 is 12.5.
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students