# DM S B: Making Long Division Simple

Have you ever wondered what DM S B stands for? It's actually the order of steps for long division: Divide, Multiply, Subtract, Bring Down. Long division can seem intimidating,

## About DM S B: Making Long Division Simple

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## Presentation Transcript

Slide2DM S B What is DMSB?  You wonder? This stands for the order of long division D ivide M ultiply S ubtract B ring Down

Slide3Take a look at this division problem:3 )74 Looks scary, huh?  Well, when you use D M S B  It can be simple.  Move to the next slide to get started! This is the dividend . The dividend is the number we break into groups. This is the  divisor . The divisor is the number of groups we are dividing into or the number we are dividing by .

Slide4DIVIDEFirst, we want to DIVIDE. Ask yourself:  “How many times can 3 go into 7?”   3  ) 7 4 Think of your multiplication facts: 3 x 1 = 3 3 x 2 = 6 3 x 3 = 9 Or, draw an array: O O O O O O O O O

Slide5DIVIDEYou want to find the closest number to 7 without going over! In this case it’s 2 times because 3 x 2 is 6 3 times is too high since 3 x 3 = 9 Think of your multiplicatio n facts: 3 x 1 = 3 3 x 2 = 6 3 x 3 = 9 Or, draw an array: O O O O O O O O O

Slide6DIVIDENow, place your 2 above the 7, because 3 goes into 7 two times.   2 3  ) 7 4 You’ve just completed the  divide .   Now, we’ll move onto  multiply . The 2 becomes the first part of your  quotient. The quotient is the answer in division.

Slide7MULTIPLYNext, you want to  multiply  3 times 2: 2 3  )74 3 x 2= 6                             6 We do this because we said that 3 can go into 7 two times, but now we have to find out how close to 7 we can get.  So we  multiply !

Slide8MULTIPLYThat was a really simple step! Now, we want to move on to  subtract !

Slide9SUBTRACTNow that we know how many times 3 goes into 7, we have to  subtract  to see the difference between the numbers: 2 3 ) 7 4                                       -6                                       1 Good!  We know 7 – 6 = 1.  Leave your 1 in it’s spot, because we’re going to use it for the bring down !

Slide10BRING DOWNWhen you  bring down ,  you’re moving the second part of your dividend into your workspace:  2 3 )7 4                                    -6                                     1 4

Slide11BRING DOWNWow!  You’ve just completed every step of D M S B!  But, wait!  There’s more!                                    2 3 )74                                    -6     14 We now have a new number          and we have to start all over again…

Slide12DIVIDEFirst, we want to DIVIDE. Ask yourself:  “How many times can 3 go into 14?”                     2 3  )74                    -6   14 Think of your multiplication facts: 3 x 1 = 3 3 x 2 = 6 3 x 3 = 9 3 x 4 = 12 3 x 5 = 15 Or, draw an array: O O O O O O O O O O O O O O O

Slide13DIVIDEYou 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 Think of your multiplication facts : 3 x 1 = 3 3 x 2 = 6 3 x 3 = 9 3 x 4 = 12 3 x 5 = 15 Or, draw an array: O O O O O O O O O O O O

Slide14DIVIDENow, 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!

Slide15MULTIPLYNext, you want to  multiply  3 times 4:                                          2 4 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 !

Slide16MULTIPLYThat was a really simple step! Now, we want to move on to  subtract !

Slide17SUBTRACTNow 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 !

Slide18BRING DOWNWhen 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  D M S B   all over again!  You want to keep going until you have  nothing  to bring down.

Slide19REMAINDERThe  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.

Slide20Here is what your division problem shouldlook like:                                     24     R - 2 3 )74                                    -6        14                                     -12         2

Slide21D M S B  is the order of operations for division.  It stands for  D ivide ,  M ultiply , S ubtract ,  B ring   Down • The  divisor  is the number of groups we are dividing into or the number we are dividing by. In 2)81   2  is the  divisor . • The  dividend  is the number we break into groups. In 2)81   81  is the  dividend • The  quotient  is the answer in division. • Remember!  You want to keep going until you have  nothing  to  bring down .

Slide22Do It Yourself!Now, try these problems on your own!  Remember D M S B.   When you’re finished, move to the next slide to check your answers! 5)62 2)78 7)92 4)45

Slide23        12 r 25)62 -5    12    -10      2         39 r 0 2)78 -6    18    -18      0         13  r 1 7)92 -7    22    -21      1          11 r 1 4)45 -4    05      -4      1 Check Yourself!

Slide24You did a really awesome job withD M S B.    Remember!  Long division can be easy!  And when you need a little help just think of  D M S B: D ivide M ultiply S ubtract B ring Down