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May 2012

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The ideas in this lesson are taken from Multiplication Division 3 ebook. Only a few examples of each problem type are shown; you should make more problems of each kind for the student.

Long division
Free lesson plan from HomeschoolMath.net

Long division procedure works the same way when the dividend has thousands.   1 5  7  4  3  5  - 5 2       1 4 5  7  4  3  5  - 5 2 4 - 2  0 4       1 4 8 5  7  4  3  5  - 5 2 4 - 2  0 4 3 - 4  0 3       1 4 8 7 5  7  4  3  5  - 5 2 4 - 2  0 4 3 - 4  0 3 5 -  3  5 0 0       24 3    1487 ×  5 7435 As always, the last step is to check.

Example problems

1.  Divide using long division.  Check by multiplication.

5   8 7 6 0       ×  5

2   3 5 5 8       ×  2

Sometimes the quotient has a zero in it.  Study the examples.   4 9  3  6  7  2  - 3  6 0 4 0 9  3  6  7  2  - 3  6 0 7 4 0 9  3  6  7  2  - 3  6 0 7 -       0 7 2 0 4 0 8 9  3  6  7  2  - 3  6 0 7 -       0 7 2 - 7  2 0 Nine goes to 3 zero times, so divide 9 straight into 36. Drop down the 7. Nine goes into 7 zero times, so place 0 in the quotient. Go 0 × 9 = 0, subtract and drop down the next digit as usual. The last step is easy. 1 4 6  8  4  5  4  - 6  2 4 1 4 0 6  8  4  5  4  - 6  2 4 - 2  4 0 5 1 4 0 9 6  8  4  5  4  - 6  2 4 - 2  4 0 5 -       0 5 4 1 4 0 9 6  8  4  5  4  - 6  2 4 - 2  4 0 5 -       0 5 4 - 5  4 0 At this stage we have an exact division but continue just as normal. Drop down the 5. Six goes into 5 zero times.  Place the 0 in the quotient. Go 0 × 6 = 0, subtract and drop down the next digit as usual. The last step is easy.

2.  Divide using long division.  Do the divisions in your notebook, and record the results here.  Remember to check each one by multiplication!

3.  Write a number sentence for each problem and solve.

a)  Merinda has to organize chairs in the hall for a wedding.  There are 150 guests,
so she needs 150 chairs.  She can make a maximum of 13 rows, and one row can have at most 14 chairs.  
Will it work if she puts 11 chairs in 13 rows?
What possibilities does she have in arranging the chairs into rows?

b)  A stadium has 6 sections of seats around it.  Four of them have 1200 seats, and two of them have 850 seats.  How many people can the stadium seat?

c)  A scholarship of 3200 dollars is divided equally between 5 students.  How much will each one get?

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