When a number is divided by another if the remainder is?
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The Remainder is the value left after the division. If a number (dividend) is not completely divisible by another number (divisor) then we are left with a value once the division is done. This value is called the remainder. Show
For example, 10 is not exactly divided by 3. Since the closest value, we can get 3 x 3 = 9. Hence, 10 ÷ 3 → 3 R 1, where 3 is the quotient and 1 is the remainder.  In arithmetic, division is one of the four major operations performed on integers, real numbers, complex numbers and algebra. The other three arithmetic operations are:
Remainder in MathsIn division, the four main parts are:
A dividend is the number or value that is divided. A divisor is the value that divides the other number. A quotient is an answer we get when one value is divided by another value. The relation between dividend, divisor and quotient is: Dividend = Divisor x Quotient Therefore, the remainder is the number that is left when a dividend is not completely divisible by the divisor. Therefore, we can say: Dividend = Divisor x Quotient + Remainder Examples are:
As we know: Dividend = Divisor x Quotient + Remainder Therefore, Remainder = Dividend – (Divisor x Quotient) This is the formula for the remainder. How to Find RemainderFinding the remainder is an easy method. We need to just divide the number by another number with its multiples and get the remainder. Let us solve some examples to learn more.
Frequently Asked Questions on RemainderA remainder is the value that is left after the division is completed. When 25 is divided by 4, 1 is the remainder. The formula to find the remainder is given by: Remainder = Dividend – (Divisor x Quotient) 17 divided by 5 = 3 R 2 Where 3 is the quotient and 2 is the remainder. 65 ÷ 6 = 10 R 5 Since, 6 x 10 = 60 and adding 5 gives 65 Sometimes when dividing there is something left over. It is called the remainder. Example: There are 7 bones to share with 2 pups.But 7 cannot be divided exactly into 2 groups, We say: "7 divided by 2 equals 3 with a remainder of 1" And we write: 7 ÷ 2 = 3 R 1 As a FractionIt is also possible to cut the remaining bone in half, so each pup gets 3 ½ bones: 7 ÷ 2 = 3 R 1 = 3 ½ "7 divided by 2 equals 3 remainder 1 equals 3 and a half" Play with the IdeaTry changing the values here ... sometimes there will be a remainder: images/divide-marbles.js Check by MultiplyingIf we look at it "the other way around" we can check our answer: 2 × 3 + 1 = 7 "2 groups of 3, plus 1 extra, equals 7" Another Example
19 cannot be divided exactly by 5. The closest we can get (without going over) is: 3 x 5 = 15 which is 4 less than 19. So the answer of 19 ÷ 5 is: 19 ÷ 5 = 3 R 4 Check it by multiplying: 5 × 3 + 4 = 19 As a FractionWe can also make a fraction with:
so we also have: 19 ÷ 5 = 3 R 4 = 3 4/5 1635, 1636, 1637, 1638, 3431, 3432, 3433, 3434, 3435, 3436 It's quite simple: test which of $\rm\:n = 5q\!+\!1 = 1,6,11\:$ has the desired remainder when divided by $3$. Since the remainders mod $\,3\,$ are $\rm\,1\to 1,\ 6\to 0,\ 11\to 2,\,$ it is $11$ with sought remainder $=2.$ The same quick test works if we replace $\,5\,$ by any $\rm\:m\:$ not divisible by $3.\,$ To find $\rm\:n\:$ such that $\rm\:3q+r = n = m\,j+k,\:$ test which of $\rm\: k,\, k\!+\!m,\, k\!+\!2m\:$ has remainder $\rm\:r\:$ when divided by $3$. More generally, the same will work for any two coprime divisors (moduli), but you will need to generate a test sequence of $\rm\:d\:$ values, where $\rm\:d\:$ is the least divisor (modulus). The theory behind this is explained by the Chinese Remainder Theorem. When a number is exactly divisible by another number the remainder is always?Hence, when a number is exactly divisible by another number, the remainder is always 0. Q. A number 74A is exactly divisible by 2 and leaves a remainder 1, when divided by 5.
When we divide one number by another and there is no remainder?When one number divides another number completely, the remainder is 0. The remainder is always less than the divisor.
What is it called when a number is divisible by another number?If a number is divisible by another number, it is also a multiple of that number. For example, 20 is divisible by 4, so 20 is a multiple of 4. Divisibility tests are rules that let you quickly tell if one number is divisible by another.
What is the remainder when is divided by?The Remainder is the value left after the division. If a number (dividend) is not completely divisible by another number (divisor) then we are left with a value once the division is done. This value is called the remainder. For example, 10 is not exactly divided by 3.
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