How to Solve Division Problems

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To solve division problems, determine if the divisor will go into the dividend, multiply, subtract, bring down the remainders and repeat until the problem is complete. Solve division problems with help from multiplication tables using advice from a math teacher in this free video math lesson.

Part of the Video Series: Math Problems & History
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Video Transcript

So, how does one do division problems? Hi, I'm Jimmy. I've been doing teaching college math for nine years, and I want to give you some basics as to the foundations of division. And the first thing that you definitely need to grasp an understanding of is that of long division. And once you see the pattern everything is going to be pretty straightforward, and you're going to be able to do more advanced division problems from there. So, here's an example for you. Suppose you want to divide three thousand seven hundred and forty one by six, so what you want to do is just ask yourself does the number on the outside divide into the first number on the inside? In other words, does six divide into three? Well, not by a whole number, so if that's not the case then you'd go on to the next number and see if six will go into the two numbers that's inside. So, does six divide number into thirty seven as close as possible? Well, if you know your multiplication tables the answer should be pretty straightforward. Six goes into thirty seven six times, and notice because this thirty seven is the first number that we're doing the division with that's the first number of where the answer's going to be on top of; six is going to be on top of the seven. After that, you take the six and you start multiplying. Six times six, you already know, is thirty six. So, after you multiply you're going to go ahead and subtract. Thirty seven minus thirty six you know is one. Now, after you do the subtraction you bring down the next number, so in this case you're going to bring down the four, and then the pattern repeats. Six times what is going to be close to fourteen? Well, six goes into fourteen two times. Now, just like you did it with the six continue on with the two. Multiply two times six; it's going to give you twelve, and then you do the subtraction again. Fourteen minus twelve is going to be two, and then last but not least you bring down the final number, the one. And so, now you have to ask yourself six goes into twenty one how many times? Well again, if you're solid with your multiplication you know that to be three. So, three times six is going to give you eighteen. Do the subtraction there and you'll end up with the number three. Now, since six does not go into three, and there's no more numbers to bring down this three down here is going to be your remainder. So, three thousand seven hundred and forty one divided by six is going to be six hundred and twenty three, remainder of three, but the pattern here is multiply, subtract, and bring down, and repeat when necessary. So, I'm Jimmy, and this has been giving you a foundation as to how to solve division problems.


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