Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Students will learn how to divide up to four-digit dividends by two-digit divisors. Start with manipulatives and pictures, then gradually move away from them. Students should also be shown how to divide by connecting dots, as seen here. Before attempting to understand long division, students should know their multiplication facts very well. Conclude by giving your students this challenge:
The solution can be seen by watching either this video, or this one. However, I recommend watching both, as the first video has a better explanation of the solution, but the second video demonstrates a shortcut. Namely, that performing the entire division, for each case, is unnecessary once a digit reoccurs in the quotient. For example, 222222/6 = 3703... which we stop because 3 has reoccured. We know that no digit can reoccur because ABCDE represent unique digits.