Dividing numbers: long division example | 4th grade | Khan Academy

TL;DR

Learn how to solve a division problem using a step-by-step technique, demonstrated with the example of 280 divided by 5.

Transcript

Let's tackle a slightly more interesting division problem. So we're going to take 280 and divide it by 5. And I encourage you to pause this video and try to apply the technique that we've seen in a previous video to try to figure out what 280 divided by 5 is. So let's have our go at it. So we could rewrite this. We've already seen this as 280 divid... Read More

Key Insights

• ➗ The division process involves considering each digit in the dividend separately and applying the division technique accordingly.
• 🖐️ Place value plays a significant role in accurately dividing the dividend and determining the quotient and remainder in each step.
• 🙂 Omitting the zero in the ones place of the dividend does not affect the calculation, making the process slightly simpler.
• 🥇 The technique showcased in the video is not based on magic, but rather on understanding and using place value to solve division problems efficiently.
• ➗ By following the step-by-step process, we can solve division problems accurately and establish a clear understanding of the concepts involved.
• ➗ Division calculations become easier when we break down the process into smaller steps, dividing each digit individually.
• 🥇 The technique demonstrated in the video can be applied to other division problems by considering the place value of each digit.

Questions & Answers

Q: How is the division process applied step by step in the example of 280 divided by 5?

The division process in this example involves considering each digit in the dividend separately. Beginning with 2, we divide it by 5 and get 0. We subtract to get 2 as the remainder. Then, we bring down the next digit, which is 8. We divide 28 by 5 and get 5 as the quotient. Subtracting 25 from 28 leaves us with 3, which becomes the new remainder. Finally, with 30 as the new dividend, we divide it by 5 to get 6 as the quotient, with no remainder.

Q: What is the significance of considering the place value of each digit in the division process?

Considering the place value helps determine how many times the divisor goes into each digit in the dividend. For example, in the case of 280 divided by 5, the number 2 is in the hundreds place, the number 8 is in the tens place, and the number 0 is in the ones place. By analyzing these place values, we can perform accurate division calculations.

Q: Can the zero in the division process be omitted?

Yes, the zero can be omitted in the division process. Instead of writing 280 divided by 5 as 280 divided by 5, we can directly begin with 28 divided by 5, since the zero in the ones place does not affect the calculation. This simplifies the process without changing the final answer.

Q: What is the relationship between place value and the division process?

Place value is crucial in the division process as it determines the value of each digit in the dividend. By considering the place value, we can accurately divide the dividend by the divisor and perform the necessary calculations step by step. It enables us to keep track of the remainder and quotient while dividing.

Summary & Key Takeaways

• Dividing 280 by 5, we start by dividing 2 by 5, which gives us 0. We subtract to get 2, then bring down the next digit, which is 8. We divide 28 by 5, which gives us 5. We subtract to get 3, then bring down the next digit, which is 0. We divide 30 by 5, which gives us 6. The final answer is 56.

• The technique used in this video involves considering the place value of each digit in the dividend and applying the division process accordingly.

• It is also mentioned that writing the zero in the calculation is optional and can be omitted.