1. Division by One Digit Divisors

2. What are you doing when you divide?
When you divide, you are trying to split something into equally numbered groups
Take these 16 apples:
               
Dividing these 16 apples into 4 equal groups, gives you 4 groups that have 4 apples in each of the groups:
               

3. Division by One-digit Divisors
Today you will learn how to divide a three-digit dividend by a one-digit divisor, to get a quotient without a remainder
Let’s review these terms

4. What are the parts of a division problem?
The dividend is the number you are dividing
The divisor is the number you are dividing by
The quotient is the evenly divided result
The remainder is what is left over that cannot be evenly divided

5. When we write the problem like this: 136  5 = 27 r 1
136 is the dividend
27 is the quotient
5 is the divisor
1 is the remainder
When we write the problem like this

6. When writing it like this:
136 5 27
r 1
1 is the remainder
5, the divisor, moves to here
27, the quotient, stays here
136, the dividend, moves here

7. How do you solve a division problem?
Solving a division problem is a step by step process
The method we will learn today is based the words for the people in our families.
They are:
Father Mother Sister Brother

8. The “Family” Method Father = Find Mother = Multiply Sister = Subtract
Brother =
Bring Down

9. Father Father stands for find
Start by looking at the first number in the dividend
Find the multiple of the divisor that comes closest to that number, without going higher
Use your knowledge of math facts, or a multiplication grid

10. Father = find the number closet to the first digit
711 3 2 2 6
In the 3’s, the number closest to 7, but not more than 7, is 6
The other factor is 2
Put a 2 above the 7

11. Mother = multiply the number that is the factor that you found times the divisor
711 3 2
You found 2, multiply it times the divisor, 3 6
2 times 3 equals 6
2 X 3 = 6
Put a 6 under the 7

12. Sister = subtract the number you got by multiplying the divisor, from the number in the dividend
711 3 2 6
You got a 6 when you multiplied
Subtract 6 from 7 – 1
7 – 6 = 1
The difference must be smaller than the divisor!!!

13. Brother = bring down the next number, from the number in the dividend
711 3 2 6 – 1 1
Bring down the next number in the dividend 1
The new number you have is 11
Now start over again with Father for the ten’s

14. Now, let’s do the second step
711 3 2 6 – 1 3
Father: 9 is the closest multiple, the other factor you found is 3
Mother: 3 X 3 = 9, put a 9 under the 11 – 9
Sister: subtract 9 from = 2 2 1
Brother: bring down the 1

15. Now, let’s do the last step
711 3 2 6 – 1 9 7
Father: 21 is the closest multiple, the other factor is 7
Mother: 7 X 3 = 21, put 21 under the 21
Sister: subtract 21 from = 0 – 21
Brother: nothing’s left, you’re done!

16. 864 4 2 2 4 8 6 – 8 6 Now, let’s practice! Father Mother Sister6
Sister
Brother

17. Now, let’s do the second step
864 4 2 8 – 6 1
Father 4
Mother – 4
Sister 2 4
Brother

18. Now, let’s do the last step
864 4 2 8 – 6 1 6
Father
Mother
Sister – 24
Brother