# Partial Quotients - Harrington

Partial Quotients A Division Algorithm Created by Rina Iati, South Western School District, Hanover, PA The Partial Quotients Algorithm uses a series of at least, but less than estimates of how many bs in a. You might begin with multiples of 10 theyre easiest. There are at least ten 12s in 158 (10 x 12=120), but fewer than twenty. (20 x 12 = 240) There are more than three (3 x 12 = 36), but fewer than four (4 x 12 = 48). Record 3 as the next guess 12 158 Subtract - 120 38

Subtract - 36 2 Since 2 is less than 12, you can stop estimating. The final result is the sum of the guesses (10 + 3 = 13) plus what is left over (remainder of Created by Rina Iati, South Western School District, Hanover, PA 2) 10 1st guess 3 2nd gues 13 Sum of guesses Lets try another one 36 7,891 Subtract - 3,600 4,291 Subtract - 3,600

691 - 360 331 - 324 7 Created by Rina Iati, South Western School District, Hanover, PA 100 1st guess 100 2nd guess 10 3rd guess 9 4th guess 219 R7 Sum of guesses Now do this one on your own. 43 Subtract Subtract

8,572 - 4,300 4272 -3870 402 - 301 101 - 86 15 Created by Rina Iati, South Western School District, Hanover, PA 100 1st guess 90 2nd guess 7 3rd guess 2 4th 199 R 15 guess Sum of guesses

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