If you are asked to find 621/59=, how do you know to quotient is greater than 10 before you actually divide?

You know that 600 divided by 60 is 10.

You know that 600 x 10 is 600,so you know that 621 divided by 59 quorum is going to be more then 10 because 621 is greater than 600.

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You know that 60✖️10=600 and so you know that 621➗59 is going to be more than 10.

59 can only go into 621 ten times without going over. There is a remainder

To determine whether the quotient of 621 divided by 59 is greater than 10 without performing the actual division, you can use estimation techniques.

Here's the step-by-step process:

1. Take a look at the dividend (621 in this case) and the divisor (59 in this case).

2. Round the dividend and divisor to the nearest multiples of 10, 100, or 1000 (depending on the level of estimation you want). In this case, we can round them both to the nearest hundred.

621 rounded to the nearest hundred is 600.
59 rounded to the nearest hundred is 100.

3. Divide the rounded dividend by the rounded divisor: 600 ÷ 100 = 6.

4. Compare the obtained quotient (6) to the original rounded dividend (600) divided by the original rounded divisor (100). Here, 6 is less than 10, which means the original quotient (621 ÷ 59) is expected to be greater than 10.

So, by estimating the division, we can conclude that the quotient of 621 divided by 59 is greater than 10.

621