find the number which when divided by 32 gives the quotient 26 and the remainder 4
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Answer:
A number, when divided by 6, gives a quotient of 4 and a remainder of 1. What is that number?
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Euclidian division of integers is governed by the following proposition:
Given two positive integers a and b, there are integers q and r such that
a = bq + r, and 0 ≤ r < b.
The integers above are uniquely determined, and are called the quotient and remainder of a upon division by b. The numbers a and b themselves are referred to as the dividend and divisor.
In other words,
The dividend is divided by the divisor to get a (unique) quotient and a (unique) remainder. They are joined together by the equation
(dividend) = (divisor) x (quotient) + (remainder)
and satisfy the condition
0 ≤ (remainder) < (divisor).
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