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Yes. Maybe this will help with the understanding. Say you have 10 apples (whole value = 10), and you divide them into groups of 2 (group value = 2). How many groups will you have. So 10 ÷ 2 = 5. There are 5 groups.
Now take a dollar (value = 1) and how many quarters (group value = 0.25) will make up a whole dollar. So you have 1 ÷ 0.25 = 4. It's easy to visualize that there are 4 quarters in a dollar.
already wrote this answer for this question so will add it anyway, above answer explains it well, ironically i used the same values but didn't think to use dollars and quarters as an example (im from the UK, we dont have 0.25 value coins)
yes you do, basically if multiplying any number greater than 1 by a number less than 1 you will always get a higher number than you started with.
for example, 10x0.25 is asking how many 0.25's are there in 10, because there are four 0.25's in 1 then we are multiplying 10 by 4, therefore 10x0.25=40
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What happens to the quotient when you divide a fraction by a fraction?
The quotient is larger than the original fraction.
What is the quotient and remainder of 805 divided by 98483?
Quotient 0, remainder 805. Note that you will always get this pattern when you divide a smaller number by a larger one - i.e., the quotient will be zero, and the remainder will be the dividend.
What happens to a number when you divide it by a fraction or decimal less than one?
The answer is larger than the original number.
What is 9 divided by 16 step by step?
0.5625
What if your remainder is bigger than your answer?
Then divide the remainder again by the divisor until you get a remainder smaller than your divisor or an remainder equal to zero. The remainder in a division question should never be larger than the "divisor", but the remainder often is larger than the "answer" (quotient). For example, if 435 is divided by 63, the quotient is 22 and the remainder is 57.
