We begin division by building on addition, multiplication, fact familes and arrays. Long division is so much easier to understand and learn using blocks intially.
We began by learning the song, Divisors with Advice. This song includes fun motions and gestures. It gets the kids up and moving! This is a wonderful song that helps children sing, dance & learn the division steps ( divide, multiply, subtract, bring down) and key words for division ( quotient, divisor, dividend , remainder).
Next, starting simply, we began using snap blocks to divide. Using these manipulatives to introduce ( or review) concepts of division and the algorithm helps students understand long division and the basic concept of equal groups, remainders etc.. This cannot be rushed however and must move from the simple to more difficult.
remainders (or leftovers we like to call them)