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The quotient of a division tell you how many times the divisor needs to be subtracted from the dividend to get a result of zero.

eg 10 ÷ 2 = 5 tells you that 2 needs to be subtracted 5 times from 10 to get 0: (1) 10 - 2 = 8; (2) 8 - 2 = 6; (3) 6 - 2 = 4; (4) 4 - 2 = 2; (5) 2 - 2 = 0.

With a divisor of 1, it can be subtracted exactly the same number of times as the dividend itself to get zero.

With a divisor greater than 1, each subtraction removes more than 1 and so less subtractions that the dividend will be required.

With a divisor less than 1 (and greater than 0) each subtraction removes less than 1; if it is subtracted the same number of times as the dividend there will be a remainder greater than zero which will require further subtractions before zero is reached.

eg 3 ÷ 0.6: (1) 3 - 0.6 = 2.4; (2) 2.4 - 0.6 = 1.8; (3) 1.8 - 0.6 = 1.2 [still have 1.2 to go]; (4) 1.2 - 0.6 = 0.6; (5) 0.6 - 0.6 = 0 → 3 ÷ 0.6 = 5.

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Q: Why is the quotient bigger than the dividend when dividing by a decimal?
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Related questions

When dividing a number which is greater than you by a number less than 1 will the quotient be greater than or less than the dividend?

Dividing a number by a decimal always gives a number greater than the dividend. Some decimal numbers are bigger than 1, eg 506.23 , so the answer is less. The statement "a number greater than you" has no meaning so the question cannot be properly understood.


Can the quotient be bigger than the dividend?

yes


What is an equation when the quotient is bigger than the dividend?

If the divisor of the dividend is a fraction then the quotient is increased as for example 14 divided by 2 = 7 but 14 divided by 1/2 or 0.5 = 28


Is there a such thing as a remainder being bigger than the quotient?

Yes, certainly. A quotient is the result of division ( a divisor into a dividend). The remainder can be bigger than the quotient, but not bigger than the divisor. For example 130 divided by 20 =6 with remainder of 10. Here 6 is the quotient and remainder is 10, which is bigger than the quotient


Why is it sometimes necessary to add a zero to the right of the decimal point in the quotient?

Adding a zero to the right of the decimal point in the quotient ensures that the division process is carried out accurately and consistently, maintaining the correct place value alignment. This step helps avoid potential errors in decimal division calculations.


Why is 376.0 divided by 93's quotient bigger than 376 divided by 93.01's quotient?

It's easier to visualize with smaller numbers. 18 divided by 3 = 6 18 divided by 6 = 3 If the dividend is the same, the smaller the divisor, the larger the quotient.


Why is the quotient larger than the dividend when dividing by a unit fraction?

Rules for dividing by a fraction are multiply by the reciprocal. The reciprocal of a unit fraction is a whole number. Multiplying by a whole number will make the answer (quotient) larger. ex unit fraction 1/a 7 divided by 1/a = 7 x a/1 = 7a .... a times larger than 7.


Who is bigger dividend or divisor?

the dividend see if u say 10 divided by 5 the the will be the dividend.


Can the remainder be bigger then the quotient?

no


What is the difference between multiplying and dividing?

when multiplying the numbers increase unless it is multiplied by a decimal, it will then decrease. when dividing the numbers are divided (splitted) therefor it decreases unless it is divided by a decimal, it will then increase. Decrease means 'gets smaller or less' Increase means 'getting bigger or more'


What is the bigger decimal?

Suppose you have two decimal numbers, A and B. If A - B > 0 then A is the bigger decimal, if A - B < 0 then B is the bigger decimal and if A - B = 0, neither is bigger.


When you divide a decimal by a decimal what do you make?

a bigger decimal