What is the remainder when 75 is divided by 6?

Prepare for the Praxis Elementary Education Test Math section. Study with interactive questions and explanations. Prepare confidently for your exam!

To find the remainder when 75 is divided by 6, you need to perform the division and see how much is left over after fitting as many 6s into 75 as possible.

Firstly, divide 75 by 6. When you do this, you find that 6 fits into 75 a total of 12 times because 6 multiplied by 12 is 72. This means that if you subtract 72 from 75 (which is the product of 12 and 6), you are left with 3.

This leftover amount, known as the remainder, is the result of your division. Since you counted 12 full groups of 6 that fit into 75, the remainder of 3 indicates that after accounting for those groups, there are still 3 left that do not form another full group of 6.

Thus, the remainder when 75 is divided by 6 is 3.

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