67.125
The answer will depend on how you estimate (and why).
If you go for 540/8 = 270/4 = 135/2 = 67.5 your estimate is greater than the true value which is 67.125.
If you go for 8 = 2*2*2 so division by 8 is the same as halving three times, you will get 537/2 = 268.5, 268/2 = 134 and 134/2 = 67 which is less than the actual quotient.
Division by 8 is simple enough to do anyway so I do not really see why you need an "estimate".
67.125
The best way to estimate a quotient using compatible numbers is to first understand how compatible numbers work. They are numbers that are close in value to the actual numbers and are easily added, subtracted or divided.
59.875
That quotient would be an imaginary number. The actual number depends on exactly what imaginary number you divide the 7 by.
When you round both factors in a multiplication problem up, your estimate will be greater than the actual product.
67.125
127.2564
The best way to estimate a quotient using compatible numbers is to first understand how compatible numbers work. They are numbers that are close in value to the actual numbers and are easily added, subtracted or divided.
Example 617 divided by 6. If you estimate that 600 divided by 6 is 100, you know that the actual answer will have a 1 in the hundreds place.
59.875
83/120
199 over 198 estimate = 1 actual answer would be greater than 1 35 over 17 estimate = 1 actual answer would be greater than 1
An upper bound estimate is a estimate that is greater than the actual solution.
461.5417
Suppose at some point in your life you wanted to know the answer of 29 divided by 14. If you can estimate in your head that 30 divided by 15 is 2, you would expect the answer to be somewhere around two. Since 14 is a little less than half, you would expect the answer to be a little bit more than two. The actual answer of 29/14 is 2.07.
To estimate the quotient, we first round off the divisor and the dividend to the nearest tens, hundreds, or thousands and then divide the rounded numbers. In a division sum, when the divisor is made up of 2 digits or more than 2 digits, it helps if we first estimate the quotient and then try to find the actual number.
If you were a car mechanic and your actual amount came in lower than the estimate, your customer would think he or she got a good deal.