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The remainder of two positive integers can be calculated by first dividing one number (the dividend) by the other (the divisor) using integer division (ignoring any fractional component). Multiply this quotient by the divisor, then subtract the product from the dividend. The result is the remainder. Alternatively, while the dividend remains greater than the divisor, subtract the divisor from the dividend and repeat until the dividend is smaller than the divisor. The dividend is then the remainder.
How to solve long division problem:When dividing two numbers, the dividend and divisor; the answer is the quotient.Make note of where decimal points is in the dividend and divisor.Simplify the long division problem by moving the decimals of the divisor and dividend by the same number of decimal places.Keep the numbers lined up straight from top to bottom.After each step, be sure the remainder for that step is less than the divisor. If it is not, there is a problem - check your math.In the end, any left over is called the remainder
In math, "rem" refers to the "remainder" in division operations. When dividing two integers, the remainder is what is left over after the division is complete, specifically when the dividend is not evenly divisible by the divisor. For example, in the division of 10 by 3, the quotient is 3 and the remainder (rem) is 1. In programming and computer science, "rem" is often used in functions that calculate this value.
The two numbers involved in a division operation are called the "dividend" and the "divisor." The dividend is the number being divided, while the divisor is the number by which the dividend is divided. The result of the division is called the "quotient."
To perform long division with two numbers, start by dividing the first number (the dividend) by the second number (the divisor). Determine how many times the divisor fits into the leading portion of the dividend and write that number above the dividend. Multiply the divisor by this quotient, subtract the result from the leading portion, and bring down the next digit of the dividend. Repeat this process until all digits have been brought down, resulting in a final quotient and a remainder if applicable.
The remainder of two positive integers can be calculated by first dividing one number (the dividend) by the other (the divisor) using integer division (ignoring any fractional component). Multiply this quotient by the divisor, then subtract the product from the dividend. The result is the remainder. Alternatively, while the dividend remains greater than the divisor, subtract the divisor from the dividend and repeat until the dividend is smaller than the divisor. The dividend is then the remainder.
int dividend,divisor,remainder; int division(int p,int q){ int quotient=1; /*if divisor and diviend are equal then quotient=1*/ if(p==q){ remainder=0; return 1; } /*if dividend is smaller than divisor then remainder=dividend*/ if(p<q){ remainder=p; return 0; } /*shift left till divisor > dividend*/ while(p>=q){ q<<=1; quotient<<=1; } /*shift right for one time so that divisor become smaller than dividend*/ q>>=1; quotient>>=1; /*again call division recurcively*/ quotient+=division(p-q,divisor); return quotient; } int main(){ cout<<"\nEnter dividend:"; cin>>dividend; cout<<"\nEnter divisor:"; cin>>divisor; cout<<"\nQuotient:"<<division(dividend,divisor); cout<<"\nRemainder:"<<remainder; //system("pause"); return 0; }
In any two-figure division sum, the format is: dividend / divisor = quotient
How to solve long division problem:When dividing two numbers, the dividend and divisor; the answer is the quotient.Make note of where decimal points is in the dividend and divisor.Simplify the long division problem by moving the decimals of the divisor and dividend by the same number of decimal places.Keep the numbers lined up straight from top to bottom.After each step, be sure the remainder for that step is less than the divisor. If it is not, there is a problem - check your math.In the end, any left over is called the remainder
In math, "rem" refers to the "remainder" in division operations. When dividing two integers, the remainder is what is left over after the division is complete, specifically when the dividend is not evenly divisible by the divisor. For example, in the division of 10 by 3, the quotient is 3 and the remainder (rem) is 1. In programming and computer science, "rem" is often used in functions that calculate this value.
The two numbers involved in a division operation are called the "dividend" and the "divisor." The dividend is the number being divided, while the divisor is the number by which the dividend is divided. The result of the division is called the "quotient."
To perform long division with two numbers, start by dividing the first number (the dividend) by the second number (the divisor). Determine how many times the divisor fits into the leading portion of the dividend and write that number above the dividend. Multiply the divisor by this quotient, subtract the result from the leading portion, and bring down the next digit of the dividend. Repeat this process until all digits have been brought down, resulting in a final quotient and a remainder if applicable.
The two numbers that give you the quotient in a division operation are the dividend and the divisor. The dividend is the number being divided, while the divisor is the number by which the dividend is being divided. The result of the division operation is the quotient. For example, in the division problem 10 ÷ 2 = 5, 10 is the dividend, 2 is the divisor, and 5 is the quotient.
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This is a common operation in Number Theory, especially in relation to Euclid's Algorism.If, when dividing two numbers, complete division does not occur then usually the operation stops at a value less than the dividend and the resulting difference is described as the remainder.Example : 88 ÷ 7 = 12 with remainder 4. (12 x 7 = 84)A negative remainder is when the division stops at a value greater than the dividend. Normally this is the value immediately greater than the dividend.Example : 88 ÷ 7 = 13 with remainder -3 (13 x 7 = 91)
If you add two zeroes to the divisor but still have a remainder, add zeroes to the dividend. Adding zeroes to the divisor will not help.
Undefined: You cannot divide by zero