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Long division is the standard algorithm used for pen-and-paper division of multi-digit numbers expressed in decimal notation. It shifts gradually from the left to the right end of the dividend, subtracting the largest possible multiple of the divisor (at the digit level) at each stage; the multiples then become the digits of the quotient, and the final difference is then the remainder.
One must multiply the leftmost digit of the original number by 3, add the next digit, take the remainder when divided by 7, and continue from the beginning: multiply by 3, add the next digit, etc. For example, the number 371: 3×3 + 7 = 16 remainder 2, and 2×3 + 1 = 7. This method can be used to find the remainder of division by 7.
The process of substituting remainders by formulae involving their predecessors can be continued until the original numbers a and b are reached: r 2 = r 0 − q 2 r 1 r 1 = b − q 1 r 0 r 0 = a − q 0 b. After all the remainders r 0, r 1, etc. have been substituted, the final equation expresses g as a linear sum of a and b, so that g = sa + tb.
In arithmetic, Euclidean division – or division with remainder – is the process of dividing one integer (the dividend) by another (the divisor), in a way that produces an integer quotient and a natural number remainder strictly smaller than the absolute value of the divisor. A fundamental property is that the quotient and the remainder ...
In computing, the modulo operation returns the remainder or signed remainder of a division, after one number is divided by another, called the modulus of the operation.. Given two positive numbers a and n, a modulo n (often abbreviated as a mod n) is the remainder of the Euclidean division of a by n, where a is the dividend and n is the divisor.
No one just goes to Antarctica. They journey there, slowly, an experience that unfolds page by page, like a long, adventurous book. By the time I reach what feels like the bottom of the earth, I ...
Blue Pure 311i Max is the top-of-the-line model out of the half-dozen or so Blue Air purifiers available. The tallest (14.4" wide x 14.4" deep x 22.7" tall) in our round-up and with a premium grey ...
The division with remainder or Euclidean division of two natural numbers provides an integer quotient, which is the number of times the second number is completely contained in the first number, and a remainder, which is the part of the first number that remains, when in the course of computing the quotient, no further full chunk of the size of ...