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Year 7 Interactive Maths - Second Edition


Division

Division 'undoes' multiplication and involves a number called the dividend being 'divided' by another number called the divisor.  The symbol used for division is ''.  You need to have a thorough knowledge of the following 'times table' in order to divide one number by another.

Times table

Division 'undoes' multiplication


Short Division

Example 15

Calculate 56 divided by 8.

Solution:

56 divided by 8 is 7.


Long Division

So far we have used our 'times table' knowledge to divide one number by another number.  Now, we will consider division in which the dividend is greater than 100 and the divisor is still less than or equal to 10.


Example 16

Calculate 692 divided by 4.

Solution:

Long division with the dividend, divisor, quotient and remainder shown.

692 divided by 4 is 173.


Note:
  • As division is the inverse of multiplication, start by dividing 4 into the column furthest to the left.
  • 6 4 = 1 and 2 is the remainder.
  • Clearly, the remainder 2 is 200 (i.e. 20 tens); and we can carry this into the tens column to make 29.  This is written as shown below.

Step 1:  Long division

  • Now, 29 4 = 7 with a remainder of 1.  Clearly, the remainder of 1 is 10 (i.e. 10 units) and we carry this into the units column to make 12.  This is written as:

Step 2:  Long division

  • Finally, 12 4 = 3, which is illustrated in the solution shown above.


Example 17

Calculate 315 divided by 7.

Solution:

Long division with the dividend, divisor, quotient and remainder shown.

315 divided by 7 is 45.


Note:

Note on long division.


Key Terms

division, dividend, divisor, times table, short division, long division, quotient, remainder


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