Long division with decimals | Arithmetic operations | 5th grade | Khan Academy

TL;DR

Learn how to divide decimals by whole numbers using long division.

Transcript

• [Voiceover] Let's figure out what 2.211 divided by 6.7 is. So the first thing I like to do is, I don't like to divide by a decimal. So I'm going to multiply 6.7, I'm going to multiply 6.7 by 10, which is essentially just taking this decimal and moving it one space to the right. Well I can't just do that to the 6.7, I also have to do that to the 2... Read More

Key Insights

• 👉 Dividing decimals by whole numbers requires moving the decimal point one space to the right for both the dividend and divisor.
• 😥 Keeping track of the decimal point in the quotient while performing long division is essential for accurate results.
• 👻 Neatly writing and organizing the numbers in long division helps prevent errors and allows for easier understanding.
• 😘 Adjust the quotient if the initial guess is too high or too low by checking the remainder.
• ➗ The division process is complete when there are no more digits to bring down and the remainder is less than the divisor.
• ➗ Long division is an effective method for dividing decimals by whole numbers.
• #️⃣ Dividing decimal numbers by whole numbers helps in solving real-life problems that involve proportions or ratios.

Summary & Key Takeaways

• Start by moving the decimal point one space to the right for both the dividend and divisor to avoid dividing by a decimal.

• Rewrite the problem with the new whole number divisor and perform long division as usual.

• Keep track of the decimal point in the quotient and ensure neat column placement to avoid errors.