Final answer:
Dividing a number by 10 will yield a larger quotient than dividing the same number by 50 because the divisor is smaller, resulting in a larger quotient.
Step-by-step explanation:
The question asks which quotient is greater: a number divided by 10 or the same number divided by 50. To determine the greater quotient, consider the division process. When you divide a number by a smaller divisor (in this case, 10), you get a larger quotient.
Conversely, dividing by a larger divisor (50) results in a smaller quotient. Therefore, the quotient obtained by dividing the number by 10 will be greater than the quotient obtained by dividing the same number by 50.