yego.me
💡 Stop wasting time. Read Youtube instead of watch. Download Chrome Extension

Dividing by a two digit number


3m read
·Nov 10, 2024

In this video, we're going to get a little bit of practice dividing by a two-digit number. So let's say that we have 4781 divided by 32. Pause this video and see if you can figure out what that's going to be and if there is a remainder, figure out what that remainder is going to be.

All right, now let's work on this together. So first, let me rewrite 4781, and this is going to be divided by 32. Now, whenever we divide by anything that has more than one digit, it's a little bit of an art. The way we're going to tackle it is a little trial and error using estimation. So we'll start by saying, "Hey, how many times does 32 go into 4?" Well, 32 doesn't go into 4 at all.

So then we'll move on. How many times does 32 go into 47? Well, it's pretty clear that 32 goes one time into 47, so I'll put the 1 right over there above the 7 in 47. If you're saying, "Hey, how did Sal know that?" Well, just remember, 2 times 32 would be 64. That's more than 47. So, 32 goes into 47 one time.

Now we multiply 1 times 32. 1 times 2 is 2; 1 times 3 is 3. You knew that 1 times 32 is 32. And then we subtract 32 from 47. Let's do that, and we get 7 minus 2 is 5 and 4 minus 3 is 1. The way you make sure that you did that step right is whatever we get over here should be less than 32. If whatever we have here is 32 or greater, that means we could have had a larger number up here.

But then our next step is we bring down the 8 and we say, "How many times does 32 go into 158?" Now this is a little bit tricky. If you were estimating how many times does 30 go into 150, you might say 5. Actually, this is for kicks; let's just try that out. Let's see if 5 works. So, let's see. 5 times 2 is 10. We'll put zero ones and then we will have one ten there, carry the one. 5 times 3 is fifteen plus one is sixteen. So that didn't work out. It almost worked out, but not quite. 160 is larger than 158, so 5 is too much there.

So we need to go down to 4. 4 times 2 is 8; 4 times 3 is 12. Now we subtract and 158 minus 128. Eight minus eight is zero; five tens minus two tens is three tens, and then we have no hundreds. And then this is right because thirty is less than thirty-two. Then we can bring down that one.

Now how many times does 32 go into 301? Well, we might be tempted to say, "Well, this is close to 30; this is close to 300, so maybe it's 10." But 10 times 32 would be 320, so that'd be too much. So I feel good about 9 as my estimate. 9 times 2 is 18, carry the 1. 9 times 3 is 27 plus 1 is 28.

And then we can subtract. We're actually going to do a little regrouping here. You might be able to do it in your head to go from 288 to 301. Let's say you would add 12 to get to 300 and then one more, 13. So you might be able to do it in your head that this is going to be 13, or you could regroup.

You could say, "All right, let's see. One is less than eight; can I regroup from the tens place?" No, I have nothing there, so I have to regroup from the hundreds place. I'm going to take one of those hundreds; I'm left with two hundreds, and then I'm going to have ten tens. Then I can take one of those tens, so I have nine tens left and give it to the ones place.

So now I have 11 ones, and 11 minus 8 is 3. Nine tens minus eight tens is 1 ten, and then the hundreds: 200 minus 200 is just a zero. And so there we have it: this is less than 32. We have nothing left to bring down, and so we're left with a remainder of 13.

So this is going to be equal to 149 with a remainder of 13. And we're done.

More Articles

View All
The View From Above | Stoic Exercises For Inner Peace
It’s funny to look at ourselves and see how we quarrel about the smallest things. Like the behavior of an annoying coworker during a meeting or the person who cuts us off in traffic. From my own experience, it’s very easy to get dragged along by a minor e…
NEW Apple Credit Card 2019: Rumors and Breakdown
What’s up you guys? It’s Graham here. So the credit card community has been pretty quiet lately. Sign-up bonuses are dwindling, Chase Sapphire is cutting back on some of their benefits, and I thought I was done making credit card videos like this because…
Relating unit rate to slope in graphs of proportional relationships | Grade 8 (TX) | Khan Academy
A farmer sold 26 kg of tomatoes for $78. Which graph has a slope that represents the cost of tomatoes in dollars per kilogram? Pause this video, work through this on your own before we do this together. So, if we’re thinking about slope, slope is all ab…
Encryption and public keys | Internet 101 | Computer Science | Khan Academy
[Music] Hi, my name is Mia Gilner. I’m majoring in computer science at UC Berkeley, and I work for the Department of Defense where I try to keep information safe. The internet is an open and public system. We all send and receive information over shared …
Pain in the Crevasse | Continent 7: Antarctica
Okay team, let Mark the shear zone, so come on nice and close behind us. Thank you. The RAS shelf team has traveled about 30 miles, and they’re facing the most dangerous part of their traverse. Oh, we’re just about to enter into the shear zone here. We j…
Soar Over the Lush Rice Terraces of the Philippines | National Geographic
[Music] This living cultural landscape is nestled into the remote slopes of the Cordillera Yarra mountain range in the Philippines. [Music] For two thousand years, the mountains of Ifugao province have been cultivated with terraced rice fields that stretc…