To sketch a rectangular array of base ten pieces using a division frame, let's use an example of 24 divided by 4. Here are the steps: 1. Draw a rectangle to represent the division frame. This rectangle will represent the total number you are dividing, in this case, 24. 2. Divide the rectangle into 4 equal parts since we are dividing by 4. Each part represents a quotient of the division. 3. Now, we need to represent 24 using base ten pieces. Since 24 is less than 100, we can use tens and ones. We have 2 tens (20) and 4 ones (4) to make up 24. 4. Distribute the 2 tens equally among the 4 parts of the rectangle. Each part gets 5 (one half of a ten). 5. Distribute the 4 ones equally among the 4 parts of the rectangle. Each part gets 1. 6. Now, each part of the rectangle has 5 (from the tens) + 1 (from the ones) = 6. So, 24 divided by 4 equals 6. Remember, each part of the rectangle represents a quotient of the division. The number of base ten pieces in each part is the answer to the division