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assume dividing into whole number

if you divide by 4 then remainder will be 0,1,2, or 3

by 6 then remainder will be 0,1,2,3,4 or 5

by 9 then remainder will be 0,1,2,3,4,5,6,7 or 8

Q: What remainders are possible when you divide a number by 4 by 6 OR by 9?

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Any non-negative integer less than the number that you are dividing by.

0.75

If you take any four consecutive numbers and divide them by 3, the remainders are as follows: 9/3 = 3 10/3 = 3 remainder 1 11/3 = 3 remainder 2 12/3 = 4 Therefore, the highest remainder you can have by dividing a whole number is 2.

2401 is one such number.

Remainders are normally thought of as what's left when you have accounted for as many a possible whole number multiples of the divisor (here 4). But if you have 5 left over then there's another 4 to go. There's no law against it but it would be a bit peculiar to say that 5 divided by 4 is zero with remainder 5. Arguably, you haven't completed the division properly. Try sharing 5 cakes amongst 4 people like that and see what trouble you will get into.

Related questions

4

Any non-negative integer less than the number that you are dividing by.

In division by 5, you can have remainders of 0, 1, 2, 3, and 4. If you count zero, then you can have five possible remainders. If you are not counting zero, then 4 possible remainders.

The possible number of remainders is always one less than the divisor.

the max remainder you can have when dividing by a number is that number minus 1 So 4 can only have 1, 2 and 3 as remainders. 9 can only have 1-8 and so on.

With the divisor (the number you are dividing by) as 9, there are 9 possible remainders: 0, 1, 2, 3, 4, 5, 6, 7, and 8.

23.25

The possible remainders are {0, 1, 2, 3, 4, 5, 6, 7} making eight of them.

2

There are 9 possible remainders: 0, 1, 2, 3, 4, 5, 6, 7, 8.

Only 3 non-zero remainders.1, 2, and 3 are the only possible non-zero remainders since any number greater than or equal to the divisor could also be divided, to result in a new quotient. A remainder of zero, means that the dividend is divisible by the divisor (the divisor is a factor of the number)

No.