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Long Division
Long Division
Mr. B has 70 cookies. He wants to split them
up between his 3 students. How many
cookies will each student get?
Long Division
To find the answer, we must divide!
3 70
Divisor
Dividend
The quotient
goes here.
Long Division
Follow the STEPS!
Ask yourself:
DOES MCDONALD’S SELL CHEESE BURGERS?
Long Division
DIVIDE
MULTIPLY
SUBTRACT
CHECK
BRING DOWN
Long Division
DIVIDE
3 70
Ask: How many times does 3 go into 7?
What number can we multiply by 3 to get as close
as possible to 7?
2!!
2 x 3 = 6.
This 2 now goes on the ‘roof’.
2
Long Division
MULTIPLY
3 70
Multiply the answer from the previous step
to the divisor.
That number goes under the dividend.
2
6
Long Division
SUBTRACT
3 70
Subtract the product from the previous step. 2
6
1
Long Division
CHECK
3 70
Check if there are any more digits in
the
dividend.
In this case, there is still the ‘0.’
If there are no more digits, you are
finished with the problem.
2
6
1
Long Division
Bring Down
3 70
Bring down the ‘0’ so it is next to
the ‘1’.
Then, repeat the process back to the
first step for the new number at the
bottom of the problem. Do this until
there are no more numbers
remaining.
2
6
10
Long Division
3 70
Finishing up….
How many times does 3 go into
10?
Ask: What number can I multiply
by 3 to get as close to 10 as
possible.
3!
3 x 3 = 9
23
6
10
Long Division
3 70
Repeat the multiplication step.
3 x 3 = 9
23
6
10
9
Long Division
3 70
Repeat the subtraction step.
10 - 9 = 1
23
6
10
9
1
Long Division
3 70
Repeat the Check step
Ask: Are there any
numbers left in dividend?
If not, then the answer to
the previous subtraction
problem becomes the
‘remainder.’ And the
problem is complete.
23
6
10
9
1
Long Division
3 70
23
6
10
9
1
The final answer is:
23 with a remained of 1.
This can be written as 23
r1.
Long Division Look at this sum:
8 640 ÷ 15
15 8 6 4 0
15 into 8 doesn’t go – so look at
the next digit.
15 x 5 = 75, so 15 goes into 86 five
times.
5
Notice the 5 goes above the
6.
Take 75 from the 86 to get
your remainder.
7 5
1 1
Long Division
15 8 6 4 0
5
7 5
1 1
Next, bring down the 4.
4
7 x 15 = 105
so 15 goes into 114 seven times.
7
Take 105 away from 114 to get your
remainder.
1 0 5
9
Long Division
15 8 6 4 0
5
7 5
1 1
Next, bring down the 0.
4
6 x 15 = 90
so 15 goes into 90 six times.
7
1 0 5
9
6
0
8 640 ÷ 15 = 576
Long Division There’s a trap for the unwary in this one:
6 539 ÷ 13
13 6 5 3 9
13 into 6 doesn’t go – so look at
the next digit.
13 x 5 = 65, so 13 goes into 65 five
times exactly.
5
Notice the 5 goes above the
5.
Take 65 from 65
to get a remainder of 0.
6 5
0
Long Division
13 6 5 3 9
Bring down the 3.
5
6 5
0 3
13 does not go into 3 so put a zero
in the answer.
0
Now bring down the 9.
9
13 x 3 = 39, so 13 goes into 39
three times exactly.
3
6 539 ÷ 13 = 503
Practice Problems
4 95 5 77 6 83 2 531
3 771 4 901 8 88 3 7153
Homework
8 309 6 76 2 59 7 167
2 47 5 86 7 137 2 67

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Divison with decimal pointand divios.ppt

  • 2. Long Division Mr. B has 70 cookies. He wants to split them up between his 3 students. How many cookies will each student get?
  • 3. Long Division To find the answer, we must divide! 3 70 Divisor Dividend The quotient goes here.
  • 4. Long Division Follow the STEPS! Ask yourself: DOES MCDONALD’S SELL CHEESE BURGERS?
  • 6. Long Division DIVIDE 3 70 Ask: How many times does 3 go into 7? What number can we multiply by 3 to get as close as possible to 7? 2!! 2 x 3 = 6. This 2 now goes on the ‘roof’. 2
  • 7. Long Division MULTIPLY 3 70 Multiply the answer from the previous step to the divisor. That number goes under the dividend. 2 6
  • 8. Long Division SUBTRACT 3 70 Subtract the product from the previous step. 2 6 1
  • 9. Long Division CHECK 3 70 Check if there are any more digits in the dividend. In this case, there is still the ‘0.’ If there are no more digits, you are finished with the problem. 2 6 1
  • 10. Long Division Bring Down 3 70 Bring down the ‘0’ so it is next to the ‘1’. Then, repeat the process back to the first step for the new number at the bottom of the problem. Do this until there are no more numbers remaining. 2 6 10
  • 11. Long Division 3 70 Finishing up…. How many times does 3 go into 10? Ask: What number can I multiply by 3 to get as close to 10 as possible. 3! 3 x 3 = 9 23 6 10
  • 12. Long Division 3 70 Repeat the multiplication step. 3 x 3 = 9 23 6 10 9
  • 13. Long Division 3 70 Repeat the subtraction step. 10 - 9 = 1 23 6 10 9 1
  • 14. Long Division 3 70 Repeat the Check step Ask: Are there any numbers left in dividend? If not, then the answer to the previous subtraction problem becomes the ‘remainder.’ And the problem is complete. 23 6 10 9 1
  • 15. Long Division 3 70 23 6 10 9 1 The final answer is: 23 with a remained of 1. This can be written as 23 r1.
  • 16. Long Division Look at this sum: 8 640 ÷ 15 15 8 6 4 0 15 into 8 doesn’t go – so look at the next digit. 15 x 5 = 75, so 15 goes into 86 five times. 5 Notice the 5 goes above the 6. Take 75 from the 86 to get your remainder. 7 5 1 1
  • 17. Long Division 15 8 6 4 0 5 7 5 1 1 Next, bring down the 4. 4 7 x 15 = 105 so 15 goes into 114 seven times. 7 Take 105 away from 114 to get your remainder. 1 0 5 9
  • 18. Long Division 15 8 6 4 0 5 7 5 1 1 Next, bring down the 0. 4 6 x 15 = 90 so 15 goes into 90 six times. 7 1 0 5 9 6 0 8 640 ÷ 15 = 576
  • 19. Long Division There’s a trap for the unwary in this one: 6 539 ÷ 13 13 6 5 3 9 13 into 6 doesn’t go – so look at the next digit. 13 x 5 = 65, so 13 goes into 65 five times exactly. 5 Notice the 5 goes above the 5. Take 65 from 65 to get a remainder of 0. 6 5 0
  • 20. Long Division 13 6 5 3 9 Bring down the 3. 5 6 5 0 3 13 does not go into 3 so put a zero in the answer. 0 Now bring down the 9. 9 13 x 3 = 39, so 13 goes into 39 three times exactly. 3 6 539 ÷ 13 = 503
  • 21. Practice Problems 4 95 5 77 6 83 2 531 3 771 4 901 8 88 3 7153
  • 22. Homework 8 309 6 76 2 59 7 167 2 47 5 86 7 137 2 67