When we need to divide a four digit number, such as 4000 by a one digit number, such as 8, we can use arrays and area models to help us. We can also start with a simpler problem, such as 40 divided by 8, and then think about how this helps us with our final answer.
Let's use an area model to find the answer to $8024\div8$8024÷8.
We set up the area model using a rectangle like this.
$8$8 | |
Total area: $8024$8024 |
Now if we don't know straight away what $8024\div8$8024÷8 is, we start with something we do know, like groups of $1000$1000.
Fill in the area used so far if we take out $1000$1000 groups of $8$8.
$1000$1000 | ||
$8$8 | $\editable{}$ | |
Total area: $8024$8024 |
How much area is remaining?
$1000$1000 | ||
$8$8 | $8000$8000 | $\editable{}$ |
Total area: $8024$8024 |
What is the width of the second rectangle?
$1000$1000 | $\editable{}$ | |
$8$8 | $8000$8000 | $24$24 |
Total area: $8024$8024 |
Using the area model above, what is $8024\div8$8024÷8?
We want to find $8104\div8$8104÷8.
Fill in the boxes to complete the area model.
$1000$1000 | $10$10 | $\editable{}$ | |
$8$8 | $\editable{}$ | $\editable{}$ | $\editable{}$ |
Total area: $8104$8104 |
Using the area model above, what is $8104\div8$8104÷8?
We want to find $4045\div5$4045÷5.
Fill in the widths of the rectangles on the area model.
$\editable{}$ | $\editable{}$ | |
$5$5 | $4000$4000 | $45$45 |
Total area: $4045$4045 |
Using the area model above, what is $4045\div5$4045÷5?