Dividing 45 by 4 yields a quotient of 11 with a remainder of 1. This can be expressed as a mixed number, 11 1/4, or as a decimal, 11.25. The calculation represents the equal distribution of 45 units into four groups, resulting in 11 units per group and one unit remaining.
Understanding division and the handling of remainders is fundamental in various fields. From basic arithmetic to advanced calculus, accurate computation forms the bedrock of numerous mathematical operations. This concept finds practical application in areas such as finance, engineering, and computer science, where precise calculations are essential for accurate results and problem-solving. Historically, the development of efficient division algorithms has marked significant advancements in computational mathematics.