PARTIAL QUOTIENT DIVISIONPARTIAL QUOTIENT DIVISIONDIVIDING A 3-DIGIT NUMBER BY A 1-DIGIT DIVIDING A 3-DIGIT NUMBER BY A 1-DIGIT NUMBERNUMBER

STEP 1STEP 1WRITING THE PROBLEMWRITING THE PROBLEM

HERE WE GO!HERE WE GO!WHEN WRITING 642 WHEN WRITING 642 DIVIDED BY 4...DIVIDED BY 4...4 IS THE DIVISOR ON 4 IS THE DIVISOR ON THE OUTSIDE OF THE THE OUTSIDE OF THE DIVISION 'HOUSE'DIVISION 'HOUSE'

TAKE NOTE!TAKE NOTE!IT'S OFTEN BETTER FOR BEGINNERS TO USE BENCHMARK IT'S OFTEN BETTER FOR BEGINNERS TO USE BENCHMARK NUMBERS, LIKE MULTIPLES OF 2, 5, & 10NUMBERS, LIKE MULTIPLES OF 2, 5, & 10

LET'S SEE LET'S SEE HERE...HERE...WELL, THE 6 IS IN WELL, THE 6 IS IN THE HUNDREDS THE HUNDREDS PLACE, SO...CAN I PLACE, SO...CAN I USE 100?USE 100?

WHAT DO YOU MEAN BY THAT?WHAT DO YOU MEAN BY THAT?SINCE 4 TIMES 100 IS NOT GREATER THAN 600, WE SINCE 4 TIMES 100 IS NOT GREATER THAN 600, WE CAN USE 100 AS A PARTIAL QUOTIENTCAN USE 100 AS A PARTIAL QUOTIENT

MULTIPLY AND SUBTRACTMULTIPLY AND SUBTRACT

• 100 x 4 = 400100 x 4 = 400

• 642 - 400 = 242642 - 400 = 242

MOVING ON...MOVING ON...

• 2 is in the 100's place, 2 is in the 100's place, but...but...

• 100 x 4 is greater than 100 x 4 is greater than 200, so...200, so...

• Better go with 50Better go with 50

• 50 x 4 = 20050 x 4 = 200

• That'll workThat'll work

MULTIPLY AND SUBTRACT MULTIPLY AND SUBTRACT AGAINAGAIN

• 50 x 4 = 20050 x 4 = 200

• 242 - 200 = 42242 - 200 = 42

• 50 is your second 50 is your second partial quotientpartial quotient

• 4 is in the 10's place...4 is in the 10's place...

• 4 x 10 = 40, which is 4 x 10 = 40, which is less than 42less than 42

SUBTRACT SUBTRACT AGAINAGAIN42 - 40 = 242 - 40 = 24 WON'T DIVIDE INTO 4 WON'T DIVIDE INTO 2, SO...2, SO...WE'RE ALMOST WE'RE ALMOST DONE...DONE...2 IS GOING TO BE THE 2 IS GOING TO BE THE REMAINDERREMAINDER

WHAT ABOUT THE PARTIAL WHAT ABOUT THE PARTIAL QUOTIENTS?QUOTIENTS?

• Okay, add up the Okay, add up the partial quotientspartial quotients

• You get 160You get 160

WRAPPING IT WRAPPING IT UPUP160 IS THE QUOTIENT160 IS THE QUOTIENT

2 IS THE REMAINDER2 IS THE REMAINDER

642 DIVIDED BY 4 = 642 DIVIDED BY 4 = 160 R2160 R2

THAT WAS DIVIDING WITH PARTIAL QUOTIENTSTHAT WAS DIVIDING WITH PARTIAL QUOTIENTSTHIS IS A PICTURE OF YOU GETTING OUT OF BEDTHIS IS A PICTURE OF YOU GETTING OUT OF BED