1. How Can We Use Patterns to Divide Multiples of 10?

2. When you divide multiples of 10, 100, and 1,000 knowing your basic facts and place-value patterns can help you find the answer.

3. Let’s find out how. 54 ÷ 9=6 ÷ 2 = 5 540÷ 9 = 60 100 ÷ 2= 50
Dividend
Quotient
54 ÷ 9=6
540÷ 9 = 60
5,400 ÷ 9 = 600
÷ 2 = 5
100 ÷ 2= 50
1000 ÷ 2 = 500
What is the pattern in the dividends and the quotients? 
(Both terms are ten times greater than those in the line above.)
How do the zeros show the pattern?
(There is one more zero in the dividend and the quotient each time.)

4. Let’s look at another example.
What would 9000 ÷ 9 be?
Let’s complete the pattern to find out.
9 ÷ 9 =1 (This is the basic fact; the root of the problem)
90 ÷ 9= (Adding one zero to the dividend means we add one zero the quotient. This makes it ten times greater than the basic fact 9 ÷ 1.
900 ÷ 9 = 100 (Adding two zeros to the dividend means we should add two zeros to the quotient. This makes it ten times greater than the previous equation and a hundred times greater than our first equation, or our basic fact.)
1,000
So 9,000 ÷ 9=

5. Can you explain why?
9,000 ÷ 9=1,000 because…

6. Be Careful…
If there is already a zero in the dividend of the basic fact, then the number of zeros in the quotient won’t be the same. There will be one less zero.
Example: ÷ 6 = _____
30 ÷ 6 = 5 (This is the basic fact.)
300 ÷ 6 = 50
So, 3000 ÷ 6= 500

7. Here’s another way to look at dividing multiples of 10.
Find 240 ÷ 6.
So,
240 ÷ 6 is
24 tens divided equally into 6 groups. That’s 4 tens in each group or 40.)
Once again, think of the basic fact.
24÷ 6=4
(24 ones divided equally amongst 6 groups is 4 ones in each group.)

8. Try drawing this using base ten blocks.

9. What if there are zeros in the dividend and the divisor?
Example:
360 ÷ 60 = ______
What do you think?