Dividing by two digits example 1 | Arithmetic operations | 5th grade | Khan Academy

TL;DR

In this video, the process of dividing 9,815 by 65 is explained step-by-step.

Transcript

Let's divide 9,815 by 65, or figure out how many times the 65 go into 9,815. And I encourage you to pause this video and try this on your own. So let me just rewrite this as 9,815 divided by 65. And we write it this way because it's easier to manipulate the numbers, kind of doing the standard process here. And as we'll see, whenever we divide by a ... Read More

Key Insights

• 🗂️ Dividing multi-digit numbers involves approximation, subtraction, and regrouping.
• 🥺 An incorrect approximation for the divisor can lead to a larger remainder.
• ➗ Regrouping and carrying numbers help maintain the accuracy of the division calculation.

Questions & Answers

Q: What is the process of dividing 9,815 by 65?

The process involves determining how many times 65 goes into each digit of 9,815 by approximation and subtraction. It requires regrouping and carrying numbers to accurately divide.

Q: How is an approximation used in the division process?

An approximation is used when the divisor is a multi-digit number. By approximating the divisor, you can estimate how many times it goes into the dividend to find a starting point for the division calculation.

Q: What happens if the approximation for the divisor is too low?

If the approximation for the divisor is too low, you will have a larger remainder. It means you need to increase the number of times the divisor goes into the dividend to get a more accurate answer.

Q: How does regrouping and carrying help in the division process?

Regrouping and carrying numbers help when subtracting and determining how many times the divisor goes into the dividend. It ensures accurate calculations and adjusts the digits in the dividend and quotient.

Summary & Key Takeaways

• Dividing 9,815 by 65 requires an understanding of how many times 65 goes into each digit of 9,815.

• By approximating and trying different multiples of 65, the correct answer of 151 is determined.

• The process involves subtracting, regrouping, and carrying numbers to accurately divide 9,815 by 65.