Download Partial-Quotient Division Algorithm

Partial-Quotient Division Algorithm
Name_____________________________________________________________Rotation_____________
Amy is 127 days older than Bob. How many weeks older is Amy?
Steps:
1) Write the problem in traditional form: 7 127
The dividend-is the number that is being divided.
The divisor-the number that the dividend it being divided by
2) Draw a vertical line on the right side of the problem. The vertical line will
separate subtractions from partial quotients.
3) Use a series of “at least but not more than” multiples of the divisor.
-Are there at least 100 (7s) in 127? _____________________________________________
-Are there at least 10 (7s) in 127? ______________________________________________
-Are there at least 20 (7s) in 127? ______________________________________________
-10 (7s) = 70 is the closest to 127 without going over
4) Find out how much is left to divide. Subtract 70 from 127.
5) Now find the number of 7s in 57. There are 2 ways to do this:
1) Use a fact family: 8 * 7 = 56, so there are at least 8 (7s) in 57
2) Use “at least but not more than” multiples with easy numbers.
6) The division is complete when the subtraction leaves a number less then the
divisor. Now add the partial quotients—the number of 7s that were subtracted.
18 is the quotient with 1 left over, so the remainder is 1.
7) Record the final answer in the traditional position.
8) Conclude by interpreting the answer: Amy is 18 weeks and 1 day older than
Bob.
Step 7
Steps 1 & 2
Step 3
Step 4
Step 5
Step 6
Practice Problems
1)
3)
2)
4 92
7 301
4)
3 87
8 925