Divide 737 by 21 without using a calculator. Write the answer as ...

Question

Divide 737 by 21 without using a calculator. Write the answer as quotient + remainder/divisor

Accepted Answer

Welcome back, I'm so glad you're here. We get to divide 915 x 19 and I'm going to show you two different ways to do it. The first might be what you might naturally go to and the second is going to be something that really should help prepare you for what's coming next when we start adding variables to our problems. So the first one, what you might go to at least. Well what I naturally go to is just throwing that into my calculator And I get an answer of 48. and okay, that's great. That narrows it down a couple. But those answers are infractions and this one is with a decimal. So What do we do next? Well we're going to take this 19 and multiply it by the other whole number and 19 times gives us 912. Okay, that's really close to 915. And so we would take the 915 and subtract 912 and we have three left over. So we know that our answer is 48 with a remainder of three, 19th. So great. Well that helps get us the answer but I'm going to show you something that's really going to help prepare you and it's actually really similar to what we just did here. It's just that we condensed a lot of the steps and did a lot of things in our head because these are so familiar. But let me show you what we went and learned when we started learning long division. And so we would take this dividend and we'd put it inside a division bracket And we would stick the divisor the 19 on the outside here and step one would be to divide but not the whole thing. We'd kind of chunk it up and we'd say okay, this 19 is two digits, let's look at the first couple digits over here. Can we put 19 into 91? And yeah, we can take 91 divided by 19 and then we might kind of estimate a little 19 is close to 2091 is close to 100. So 20 goes into 100 and five times but 91 is not that close to 100. So let's go down to four and we'll try that. So what's 19 times four are? Step two would be to multiply those things. See if we got the right number up on top four times 19 in this case is 76 And then we see if we get a difference that is less than 19. So step three would have been to subtract, we take 91 -76 and we get 15 and we say Yay 15 is less than 19, that means I got that four in my quotient, correct. And then our next step in long division was to bring down the next digit. So we bring down this five and now our new number we'd be dealing with is 100 and 55. And we start over with step one we say how many times does 19 go into? 155? Or in other words we're dividing 155 by 19. And since we already know the answer is going to be I'll just write that there. We don't have to estimate in our heads. I just wanted you to understand the process. So eight times 19 that's going to get us 152 continuing with step three to subtract, we take 1 55 minus 1 52 and that's going to give us three because we can't bring anything else down. We're going to have a remainder of three. So we'd be writing that as plus the remainder three up in the numerator over are divisor 19 and that is our final answer. A lot of extra steps in there. I know you can just throw that into your calculator, but this should really help prep you from what's coming next. Alright. We'll look at our answer choices and that matches with answer choice. A well done. We'll catch you on the next one

Divide 737 by 21 without using a calculator. Write the answer as quotient + remainder/divisor

Key Concepts

Division

Quotient and Remainder

Long Division