Answer: The number is 3.
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Let n be the number.
If the number is multiplied by 10 and divided by 5 for the quotient to be 6, the equation would be set up like this:
10n/5=6
If we multiply both sides by 5, the equation will end up like this:
10n=30
To get the number, we need to divide each side by 10.
n=3
Therefore, the number is 3.