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Q: Estimating the quotient helps you place the first digit in the quotient of a division problem?

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104

You can use estimation and place value to help you figure out where to place the first digit.

0.7778

An estimation, like 600 divided by 6, will show you that the answer should be around 100, not 10 or 1000.

Divide 713 by 5, and the remainder in that division is the Units (50) digit. Take the quotient (without the remainder) and divide by 5. The remainder in this division is the Fives (51) digit. Continue dividing until the quotient is less tan 5 and that digit will be the leftmost digit. 713/5 = 142 and rem 3 so 50 digit = 3 142/5 = 28 and rem 2 so 51 digit = 2 28/5 = 5 and rem 3 so 52 digit = 3 5/5 = 1 and rem 0 so 53 digit = 0 and last quotient, 1 < 5 so stop with leftmost digit = 1. Then 71310 = 103235

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To look at the numbers in the division problem

The quotient is the result of dividing two numbers. So a two digit quotient is simply an answer to a division problem that ends up being 2 digits. For instance, 100 divided by 10 give a two digit quotient of 10. Or 480 / 32, which gives a two digit quotient of 15.

104

You can use estimation and place value to help you figure out where to place the first digit.

0.7778

by rounding 624 down to 600, you know that 600 divided by 6 is 100, so the first digit will probably be a 1

peni's

An estimation, like 600 divided by 6, will show you that the answer should be around 100, not 10 or 1000.

Divide 713 by 5, and the remainder in that division is the Units (50) digit. Take the quotient (without the remainder) and divide by 5. The remainder in this division is the Fives (51) digit. Continue dividing until the quotient is less tan 5 and that digit will be the leftmost digit. 713/5 = 142 and rem 3 so 50 digit = 3 142/5 = 28 and rem 2 so 51 digit = 2 28/5 = 5 and rem 3 so 52 digit = 3 5/5 = 1 and rem 0 so 53 digit = 0 and last quotient, 1 < 5 so stop with leftmost digit = 1. Then 71310 = 103235

It does not have to be. 864/2 = 432. The first digit of the quotient is not in the tens place.

There is usually little point in estimating a 1 digit number for multiplication or division. For addition, or subtraction, you could use 0.

You just continue to do the division, until you calculate the third digit after the decimal point. Then you round.