Long Division Can Be Easy

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2

2

3 )74

-6

14

Slide 12

BRING DOWN

Wow! You’ve just completed every step of DMSB! But, wait! There’s more!

2

3 )74

-6 14

We now have a new number and we have to start all over again…

Slide 13

DIVIDE

First, we want to DIVIDE.

Ask yourself: “How many times can 3 go into 14?”

2

3 )74

-6 14

Slide 14

DIVIDE

You want to find the closest number to 14 without going over!

In this case it’s 4 times because 3 x 4 is 12

5 times is too high since 3 x 5 = 15

Slide 15

DIVIDE

Now, place your 4 above the 4, because 3 goes into 14 four times.

24

3 )74

-6 14

You’ve just completed the divide. Now, we’ll move onto multiply.

The 4 becomes the second part of your quotient. You’re almost done!

Slide 16

MULTIPLY

Next, you want to multiply 3 times 4:

24

3 )74

-6 14

3 x 4 = 12 12

We do this because we said that 3 can go into 14 four times, but now we have to find out how close to 14 we can get. So we multiply!

Slide 17

MULTIPLY

That was a really simple step!

Now, we want to move on to subtract!

Slide 18

Subtract

Now that we know how many times 3 goes into 14, we have to subtract to see the difference between the numbers:

24

3 )74

-6 14

-12

2

Good! We know 14-12 = 2. Leave your 2 in it’s spot, because we’re going to use it for the bring down!

Slide 19

Bring down

When you bring down, you’re moving the next part of your dividend into your workspace:

24

3 )74 ?

-6 14

-12

2 ?

But wait!! There’s nothing to bring down!! This is OK! You have no more numbers in your dividend to add to your workspace so you’re almost done! If there was a third number in our dividend, then we would start DMSB all over again! You want to keep going until you have nothing to bring down.

Slide 20

Remainder

The remainder is what you have left over (or what is remaining) after you have nothing to bring down:

24 R - 2

3 )74

-6 14

-12

2

In this problem, the remainder is 2 because 14-12 = 2. Write your remainder next to your answer.