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### Course: 5th grade (Eureka Math/EngageNY)>Unit 2

Lesson 6: Topic F: Partial quotients and multi-digit whole number division

# Dividing by 2-digits: 9815÷65

In this math lesson, we learn the process of dividing large numbers, specifically 9,815 divided by 65. The technique involves estimation, multiplication, and subtraction to find the quotient. By following these steps, we discover that the result is 151. Created by Sal Khan.

## Want to join the conversation?

• At , can't you just round 331 to 340 since you rounded 65 up to 70?
• You technically could to try to get the approximate answer, but you'd want to round down to 330 since it's closer. However, this strategy will not get you the correct answer, just an approximation/estimate, that will help you find and check your answer.
• you said 2-2 is 1 it is 0
• go easy on him, he made like almost all the math ka videos without going mad.
• Is there any easier way to work division? or is this the only way?
• Actually, there are several ways to do division, I usually use multiplication to help me.
• what would happend if your mom had two bananas then drop 7 how many do she have?
• This is not a practical example that you provided, but the mathematical answer would be -5 bananas.
• Ha i still did not understand
• that is not good i fill so bad for u right ow that is so sad for u not to get it
• i don't understand how he is so confident that he is right. And how IS he always right. its a mystery...
• Everyone makes mistakes. Even Sal Khan makes mistakes... There are videos that have correction boxes posted on them. As you get more practice, you make less mistakes. So, just keep practicing and learning.
• My process 9815/65 = z
changed to 9000/60 first number above division sign 1 , 9000 - 6000 = 3000
next number 5, 3000 - 3000 = 0
so you know the number it's start with 15
now the art
60 x 150 = 9750
60 x 151 = 9815
9815/65 = 151
Simple Quick and Effective
Wish I could show it the way it looks on my paper much cleaner looking than the above.
• What I want to know is how you get the numbers at the top of the divisor? When you carry, where does the numbers that you carry come from?
• How can it be an art if there is the correct answer is set in stone, and there is ABSOLUTELY NO CREATIVITY POSSIBLE in math?
• There is creativity in math, though your teachers might not yet have shown you this.

One type of creativity is finding multiple ways of solving problems, which by the way is an excellent way of checking answers. Example: if we want to find 600 divided by 25, we could do it the usual long division method, OR we could recognize that because 25 x 4 = 100, 600 divided by 25 is just 6 x 4 = 24 (a good math trick!).

Another type of creativity, at high levels of math, is to find a clever way of solving more difficult math problems. This is often useful for problems in math competitions.

Still another type of creativity, at the highest levels of math, is discovering new theories. For example, the British mathematician John Conway discovered a deep connection between mathematics and games (combinatorial game theory) and invented a number system called the surreal numbers! He invented a game called Red-Blue Hackenbush, which is a good model for the surreal numbers!

Still another type of creativity is the connection between math and art. If you look up the Mandelbrot set, then even though the math might be beyond your level of understanding, you can still see and appreciate the beauty of mathematics!

Still another type of creativity is creating math problems, which is the type of work that I do for my job. Creativity is often needed to find different ways of testing a math skill.

Have a blessed, wonderful day!