Transcript Partial Quotients Method

PARTIAL QUOTIENT DIVISION
DIVIDING A 3-DIGIT NUMBER BY A 1-DIGIT
NUMBER
STEP 1
WRITING THE PROBLEM
HERE WE GO!
WHEN WRITING 642
DIVIDED BY 4...
4 IS THE DIVISOR ON
THE OUTSIDE OF THE
DIVISION 'HOUSE'
TAKE NOTE!
IT'S OFTEN BETTER FOR BEGINNERS TO USE BENCHMARK
NUMBERS, LIKE MULTIPLES OF 2, 5, & 10
LET'S SEE
HERE...
WELL, THE 6 IS IN THE
HUNDREDS PLACE,
SO...CAN I USE 100?
WHAT DO YOU MEAN BY THAT?
SINCE 4 TIMES 100 IS NOT GREATER THAN 600, WE
CAN USE 100 AS A PARTIAL QUOTIENT
MULTIPLY AND SUBTRACT
•
100 x 4 = 400
•
642 - 400 = 242
MOVING ON...
•
2 is in the 100's place,
but...
•
100 x 4 is greater than 200,
so...
•
Better go with 50
•
50 x 4 = 200
•
That'll work
MULTIPLY AND SUBTRACT AGAIN
•
50 x 4 = 200
•
242 - 200 = 42
•
50 is your second partial
quotient
•
4 is in the 10's place...
•
4 x 10 = 40, which is less
than 42
SUBTRACT
AGAIN
42 - 40 = 2
4 WON'T DIVIDE INTO
2, SO...
WE'RE ALMOST
DONE...
2 IS GOING TO BE THE
REMAINDER
WHAT ABOUT THE PARTIAL
QUOTIENTS?
•
Okay, add up the partial
quotients
•
You get 160
WRAPPING IT UP
160 IS THE QUOTIENT
2 IS THE REMAINDER
642 DIVIDED BY 4 = 160
R2
THAT WAS DIVIDING WITH PARTIAL QUOTIENTS
THIS IS A PICTURE OF YOU GETTING OUT OF BED