Download Division Short and Long

Division
Short and Long
This presentation is intended to be used by the parents and
students of Mrs. Nicholas SRA Connecting Math Concepts Math
program. It is not intended to be a substitute for a research based
program.
Division Terms
Divisor
9
7 63
Quotient
Dividend
Short Division basic facts
• The answer is part
of the basic fact
family
• No remainder
Examples:
7
8 56
6
4 24
5
2 10
3
6 18
Short Division with Remainder
•
•
Dividend is not a basic fact.
Steps to solve:
1. Determine how close the divisor can get to
the dividend without going over.
Multiplication charts can help
6 20
2. Write the answer below the dividend.
6 20
18
3. The quotient is the second part of the
basic fact family.
3
6 20
18
*Basic fact: 6 x 3 =18
4. Subtract the basic fact answer from the
original quotient.
3
6 20
18
5. The subtract answer is the remainder.
3 R2
6 20
18
Long Division
• Long division is a division problem
that has multiple digits in the
quotient.
• Steps to solve are same as short
division. You repeat the 4 steps
until all digits in the dividend are
solved.
Long Division Example
2 688
1. Ask: Can the divisor
into the first digit.
•
Yes
2. Follow steps 1-4 under
short division.
3. Continue until all digits
have an answer over the
dividend.
2 688
3 44
2 688
6 4 4
Long Division
Special circumstances…that will
occur a lot!
1.
2.
Ask: Can the divisor into the first
digit.
•
Yes, continue with steps 1-4
Next digit, start again. Can the
divisor go in the next digit.
•
No. Put a zero above that
number and underline the
next digit and ask the
question again.
•
Now the answer is yes.
Continue with steps 1-4.
1
5 545
5
10 9
5 545
5 45
Zero
• Rule to live by:
Anything divided
by zero is zero
3 0 4
2 608
More Long Division
• All division rule reviewed so far still apply;
however sometimes you will have subtract
many different times.
• The answer to the subtraction problem is
moved to the next digit in the dividend to
create a number.
• The answer to the final problem is the
remainder.
Example
1
Step 1
4359
4
107
Step 2
4
438 9
35
Step 4
107
4
4 3 8 39
107 9
Step 5
4
35
Bring the answer to subtraction
problem to the next digit in the division
problem
Step 6
107 9r3
4
4 3 8 39
35
36
4 3 8 39
35
36
Final reminder
• All number in the quotient need to
line up with the numbers in the
dividend.
• Look back at the example problems
throughout the presentation.