Dividing Whole Numbers
5th Grade Standard
5.NBT.B.6 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. (Note that it doesn't not mention the Standard Algorithm. This is not a standard until 6th grade.)
Below are several videos for division strategies based on place value. Students may or may not have learned some of these strategies in 4th grade, such as area model, or partial quotients. Even if your student can solve problems using the standard algorithm (e.g. long division), it is important for them to understand why the algorithm works, and/or be able to solve problems in more than one way. So try problems using each of these strategies! If you notice, the standards do not even have students learn the standard algorithm until 6th grade so that students have a solid understanding of division with place value strategies. As you review these videos with your student, and once you start to understand, see if you can stop the video at various points and see if you can solve the next step before they do.
Multi-Digit Division Strategies
This video is a good introduction to doing division with the area model. The only thing I don't like is that he sets up his columns first which doesn't leave room for flexibility, which is the whole point of this strategy, however, I do like the "helper box" that he uses down in the corner. However, just keep in mind that more columns are possible if you would want to do divide differently, especially if a student is not solid on all of their facts yet. The next video shows and example of this.
These videos show the method know as Partial Quotient, Big 7 or Multiply Up. They are essentially the same with slight variations. Again just like the partial product methods for multiplication, it allows for flexibility and is not as rigid as just memorizing steps as the traditional standard algorithm (e.g. long division.) Give it a try!
Here is an example of the partial quotient method with a 1-digit divisor. I like the helper box that he uses. There can be various versions of this to help students.
This video uses the same method but with 2-digit divisors. I like how with the second problem he shows how it can be solved 2 different ways, to demonstrate the flexibility of the strategy. He also compares it to the standard algorithm, and explains why he teaches it.