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    E:\Working\Orange_Education\TouchPad_Maths_4_(10-11-2025)\Open_Files\Chap_04\Chap_04
                     \ 12-Nov-2025  Bharat Arora   Proof-8                                    Reader’s Sign _______________________ Date __________

                         3.  If she shares them among 3 persons only, how many laddoos will she serve
                              to each person?
                         4.  From the above distribution, 36 laddoos can be distributed equally in 3
                              ways as:

                              a.  36 ÷ _____ = _____          b.  36 ÷ _____ = _____         c.  36 ÷ _____ = _____

                    DiviSion

                    When something is distributed equally, we say that it has been divided. The symbol
                    for division is ‘÷’.                                                    16     ÷       2      =     8
                    Look at the division sum given alongside:
                        •  The number  which is  to  be  divided is  called             Dividend    Divisor Quotient

                           the dividend.                                                              or
                        •  The number by which the dividend is divided  Divisor                      8       Quotient (Q)
                           is called the divisor.                                            2     1 6

                        •  The result of division is called the quotient.                       –  1 6       Dividend
                        •  The number  left  over  after  the  division  is                                   (2 × 8)
                           called the remainder.                                                     0       Remainder (R)

                    ProPertieS oF DiviSion

                        1.  If we divide a number by 1, the quotient is the number itself.

                           examples:  a.  5 ÷ 1 = 5                   b.   34 ÷ 1 = 34            c.   375 ÷ 1 = 375

                                                 same                          same                         same
                      2.  If we divide a number (other than 0) by the same number, the quotient is 1.
                           examples:  a.  2 ÷ 2 = 1                   b.  20 ÷ 20 = 1             c.  345 ÷ 345 = 1

                      3.  Zero divided by a number (other than 0) gives the quotient as zero.
                           examples:  a.  0 ÷ 2 = 0                   b.  0 ÷ 12 = 0              c.  0 ÷ 127 = 0
                      4.  The division of any number by zero has no meaning.

                      5.  Division and multiplication are related. Every multiplication
                           fact with two distinct factors has two division facts.                          Tips

                           examples:  a.                7  ×  9  =  63

                                                                                     A multiplication  fact of the same
                                                63 ÷ 7 = 9          63 ÷ 9 = 7       factors gives only one division fact.

                                           b.           8  ×  9  =  72               For example,
                                                                                            5 × 5 = 25 → 25 ÷ 5 = 5

                                                72 ÷ 8 = 9          72 ÷ 9 = 8       and    7 × 7 = 49 → 49 ÷ 7 = 7

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     Mathematics 4                                                                                   Division

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