Toy Trains Factory Production Calculation

A factory that produces 718 toy trains in one day and places them in boxes of 30 will end up with a certain number of filled boxes and a remainder of individual trains. To find these numbers, we need to divide the total number of trains produced (718) by the number of trains that can fit in one box (30). When we do this, the quotient will be the number of filled boxes and the remainder will be the number of leftover trains. Mathematically, this process is represented by the division algorithm.

The division algorithm states that if we divide a by b, where a is the dividend and b is the divisor, we get a quotient q and a remainder r, where 0 <= r < b. In this case, a is 718, the number of trains produced, and b is 30, the number of trains per box. Performing the division, we find that 718 divided by 30 gives a quotient of 23 and a remainder of 28. So, the factory will have 23 fully filled boxes and 28 leftover individual trains.

This calculation is important for the factory to know how many boxes they need for packaging and how many individual units are left after filling the boxes. By understanding the division algorithm, the factory can efficiently manage their production and packaging processes.