Dividing numbers: long division with remainders | Arithmetic | Khan Academy

TL;DR

Learn how to solve long division problems by following a step-by-step process and understanding the concept of remainders.

Transcript

It never hurts to get a lot of practice, so in this video I'm just going to do a bunch more of essentially, what we call long division problems. And so if you have 4 goes into 2,292. And I don't know exactly why they call it long division, and we saw this in the last video a little bit. I didn't call it long division then, but I think the reason wh... Read More

Key Insights

• ➗ Long division can be time-consuming but is an effective method for dividing large numbers.
• 🪘 Knowing multiplication tables is helpful in solving long division problems.
• ➗ Division can be represented using fractions.

Questions & Answers

Q: Why is it called long division?

The term "long division" comes from the fact that it can take a long time to complete the process, and it often requires writing out the problem on a long piece of paper. The "long tail" that develops as you progress through the problem is another possible explanation.

Q: Do you need to know multiplication tables to solve long division?

Yes, knowing multiplication tables up to at least 10 times 10 or 12 times 12 is helpful in solving long division problems. Understanding multiplication allows you to determine how many times the divisor can be multiplied to get as close to the dividend as possible.

Q: How do you represent division using fractions?

Division can be represented as a fraction. For example, 2,292 divided by 4 can be written as 2,292/4. This fraction is equivalent to the division problem and can be simplified further.

Q: Is there a way to determine if a number is divisible by 3?

Yes, there is a trick for determining divisibility by 3. You can add up all the digits of a number, and if the sum is divisible by 3, then the number is divisible by 3. For example, in a number 1,735,092, the sum of the digits is 27, which is divisible by 3.

Summary & Key Takeaways

• In this video, the host explains how to solve long division problems using a step-by-step process.

• The long division technique involves dividing a large number by a smaller number and finding the quotient and remainder.

• The video provides several examples of long division problems and demonstrates how to work through them.