Long Division is every teachers' (and students') worst nightmare, it seems! Every year, my students come to me with very little number sense. This makes dividing with two digit divisors so difficult. In response to this, I started teaching my students "Easy Breezy" division, a spin off of partial quotients.
Here is a poster that breaks down how I teach the skill. The main thing that I have added on is the Easy Breezy facts (which you can see in Step 1). As I mentioned above, many of my students lack number sense and desperately need this scaffold. Basically, the students multiply the divisor by their 2s and 5s, then add zeros for their 20s, 200s, etc. They use these Easy Breezy Facts as their partial quotients. This really works for struggling students who are not strong in division. All they need to be able to do is those multiplication facts and subtraction. They pull from those facts to solve the division problem.
As you can see from the poster, this method does take them awhile in the beginning as they typically only pull form their Easy Breezy Facts. However, as they gain mastery and confidence, they will begin to see patterns and learn to take larger quotients to solve the problem sooner.
To help with a conceptual understanding of the process, I always model this process using a word problem.This gives the students a context. Here is the word problem I typically use. It involves distributing cupcakes. We compare the partial quotients to packages of cupcakes that would be sent out.
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