How Do You Divide Decimal Numbers Using Long Division?

TL;DR

To divide decimal numbers using long division, first move the decimal point to the right for both the divisor and dividend to make them whole numbers. Perform long division as usual, treating remainders by adding decimal points and bringing down zeros when needed, until you reach a final answer.

Transcript

in this video we're going to talk about how to divide a decimal numbers so let's start with this example what is 8 point 5 divided by 3 point 4 well we need to set it up this way the 3 point 4 is the divisor and 8 point 5 is the dividend now it may not be the best thing to do long division right now so what we need to do is adjust this expression l... Read More

Key Insights

• ➗ Adjusting the decimal numbers is necessary to ensure accurate division.
• ➗ Long division is a method used to divide decimal numbers step by step.
• ❓ Remainders are important in finding the decimal part of the quotient.

Questions & Answers

Q: How do you divide decimal numbers using long division?

To divide decimal numbers using long division, first set up the division with the divisor outside and dividend inside. Adjust the numbers by moving the decimal point one unit to the right for both numbers. Then, perform long division to find the quotient.

Q: Why do we need to adjust the decimal numbers?

Adjusting the decimal numbers is necessary to ensure that both numbers have the same number of decimal places. This allows us to perform long division accurately and find the quotient.

Q: What do we do if there is a remainder in the division?

If there is a remainder in the division, we add a decimal point and a zero to the remainder. This allows us to continue the division process and find the decimal part of the quotient.

Q: Why do we treat remainders as whole numbers?

Treating remainders as whole numbers allows us to continue the division process. By adding a decimal point and treating the remainder as a larger number, we can find how many times the divisor goes into it and calculate the decimal part of the quotient.

Summary & Key Takeaways

• The video explains how to divide decimal numbers using long division.

• It demonstrates how to adjust the decimal numbers by moving the decimal point to the right.

• The process involves finding remainders and treating them as whole numbers to continue the division.