How do we perform the steps of long division? Use the following examples to explain.
(a)
(give a whole number answer with remainder)
(b)
(give a decimal answer)
Write a how many in each group division story problem for . Explain how you know your story is correct. What is one group? One object?
Draw bundled objects and large groups to place these objects in. Solve your story above in a way that models the long division algorithm. What step do you take first in the algorithm, and where is that modeled in your picture? What step do you take second, and where is that modeled in your picture? Continue in this way until you have a whole number answer with remainder. Pay close attention to explaining the following steps.
  • In the division algorithm, we often multiply. Where do you have multiplication in your picture, and why does this make sense?
  • In the division algorithm, we often subtract. Where do you have subtraction in your picture, and why does this make sense?
  • In the division algorithm, we usually “bring down” digits from the dividend. Where do you see the “bringing down” in your picture, and why does this make sense?
  • Where is the answer in your picture, and why does this make sense?
There is another algorithm for division called the partial quotients method which is the opposite of the partial products method. How would we do the steps of the partial quotients method for ?

Here are some additional problems to try if you have extra time.

Repeat questions 2 and 3, but for with a decimal answer.
Repeat questions 2 and 3 for , but using a how many groups interpretation of division.
2026-02-27 14:54:38