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Short Division

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In a division problem, you have a dividend, a divisor, a quotient, and a remainder. You don't need those labels all that often but we'll need them to talk about how to divide. If you want to divide 785 by 5, the 785 is the dividend and 5 is the divisor. If the dividend is large but the divisor is small, you can use what's called short division. It's a method that uses regrouping and compresses the work.

Set up with the dividend inside and the divisor outside, like this: . Look at the first digit in the dividend, 7. Can you divide 7 by 5? There is one 5 and 2 left over. Show that like this:


Those 2 hundreds that were left get regrouped as 20 tens so now that middle number is not just 8 but 28. Divide 28 by 5, and you get 5 with 3 left over.


Divide 35 by 5 to get 7.


All the Math You'll Ever Need

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