Division - How do you do long division?
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Division

three balls in each of three boxes

Division is a way of answering the question: how many of these things can I fit into that box? If you divide nine by three, that's the same as asking this question: if I have a box that will fit nine things, how many groups of three things will fit in the box?


How to do long division

Division is the same thing as multiplication, really, except you are multiplying by a fraction. Dividing 4 in half to get 2 is the same thing as multiplying 4 x 1/2 = 2.

To do long division, you need to fit one number (the divisor) into the digits of the other number (the dividend) to slowly build the answer (the quotient). This video explains one way to write down what you're doing so you don't lose track, but you can write it down any way that works for you.

Learn by doing - Commutation and the Number Line
More about subtraction

Bibliography and further reading about addition:

More about Multiplication
More about Fractions
More about Math
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Karen Carr is Associate Professor Emerita, Department of History, Portland State University. She holds a doctorate in Classical Art and Archaeology from the University of Michigan. Follow her on Instagram or Twitter, or buy her book, Vandals to Visigoths.
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