hey guys welcome to improv math today we're going to talk about long division long division is used when dividing large numbers or numbers that are outside of the standard division table you know the ones that you already have memorized long division is no different than short division you basically just have more digits the key to long division is just to break the problem down into smaller steps by looking at it digit by digit so let's get started first let's take a look at all the components that make up a long division problem here we have an example of what a long division problem could look like 945 / 9 this can be written in multiple ways but they all mean the same thing what we're going to do now is rewrite this problem into a format that allows us to tackle this problem digit by digit a standard long division problem has three components most problems will have a divisor the number to the left of the division sign a dividend the number to the right of the division sign and a quotient which is simply our answer sometimes your divisor will not go into the dividend an exact number of times you will have an amount left over that amount is called the remainder and your remainder is the amount that is left over once you have completed all the long division steps and cannot go any further this video is focused on Long Division without a remainder let's Master this first and then we can move on to long division with the remainder so grab a piece of paper and a pencil or a whiteboard and a marker and let's jump into some long division before we get started with our first problem let's talk about the steps involved in long division long division has four steps which we will repeat until we have our answer those steps are divide multiply subtract and bring down I like to give students a way to remember these steps so think about this dirty monkeys smell bad as you work through more long division problems you will eventually memorize those steps and if you think about how dirty monkeys smell bad it will help you remember in the meantime I will keep these steps in the screen so we can look at them as we go so let's move on to our first example 745 / 5 first let's rewrite this equation for long division to be stated as 745 ided 5 now let's go to our steps we will be doing these steps for each one of our digits in the math equation we will start with the seven in our dividend complete the steps and move on to four once we've completed all the steps for the four we will then move on to five let's get started step one divide I want you to think about how many times five goes into seven from our division tables we know that five goes into seven one time we are now going to write one over top of the seven to indicate that five goes into into seven one time step two multiply still looking at the one on top of our seven we are now going to multiply 1 * 5 which is going to give us five we are going to write that five directly below our seven step three subtract we will now subtract the five from the S to get a difference of two we know that five cannot go into two so now we move on to our final step step four bring down we will now bring down the four digit next to our two to make the number 24 we have now completed the first series of four steps let's repeat them again step one divide how many times does five go into 24 well we know that 5 * 4 is 20 and 5 * 5 is 25 so the answer will be four let's put the four over top of our four in the dividend step two multiply we will now multiply the four times our five to get an answer of 20 step three subtract if we subtract 20 from 24 it leaves us with four step four bring down let's now bring down the five next to our four and we have a number of 45 we're almost there let's repeat these steps one final time step one divide how many times does five go into 45 from our division tables we know five goes into 45 nine times step two multiply if we multiply 9 * 5 our answer is 45 step three subtract we then subtract 45 from 45 and it leaves it with zero since there are no more digits left in our division equation we're done that's it you guys you did it that is long division without a remainder I hope this video helped if it did give it a thumbs up if you want to know how to check your long division equations to make sure you're right watch my video on how to double check your long division answer thanks for watching