The Partial-Quotients Division
Algorithm, Part 1
 How
many days are there in 30 weeks?
 How
many weeks are there in 98 days?
Weeks
Days per Week
Days in all
30
7
?
Weeks
Days per Week
Days in all
?
7
98
 This
lesson formally introduces the partialquotients algorithm.
 Begin
with an equal-grouping division
problem like the following:

Amy is 127 days older than Bob. How many
weeks older is Amy?
Weeks
Days per Week
Days in all
?
7
127
Weeks
Days per Week
Days in all
?
7
127
7√127
Are there at least 100 [7s] in 127? NO
- 70 10 Are there at least 10 [7s] in 127? YES
Are there at least 20 [7s] in 127? NO
57
How many [7s] are in 57? 8*7 = 56
Are there