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    E:\Working\Orange_Education\TouchPad_Maths_4\Open_Files\Chap_04\Chap_04
                 \ 10-Nov-2025  Bharat Arora   Proof-8                                     Reader’s Sign _______________________ Date __________

                CheCking DiviSion

                Division can be checked using the following relation:

                                      Quotient (Q) × Divisor + Remainder (R) = Dividend

                example. Divide 52 by 6 and check your division.
                Solution. By using the long division method:

                                                                   8       Quotient (Q)

                                               Divisor     6    5 2        Dividend                   The remainder
                                                              –  4 8                                must be less than
                                                                                                        the divisor.
                                                                   4       Remainder (R)

                Checking: Quotient (Q) × Divisor + Remainder (R) = Dividend

                                                           8 × 6 + 4 = 52
                                                                                            The answer is the same
                                                              48 + 4 = 52                  as the dividend. Therefore,
                                                                   52 = 52                   the division is correct.

                            Exercise 4A

                    1.  Fill in the blanks.

                        a.  If 85 ÷ 5 = 17, then dividend = ________, divisor = ________, quotient = ________

                        b.  If 112 ÷ 7 = 16, then dividend = ________, divisor = ________, quotient = ________

                        c.  16 ÷ ________ = 16                          d.  ________ ÷ 72 = 1

                        e.  125 ÷ ________ = 125                        f.   9 ÷ ________ = 1

                        g.  ________ ÷ 27 = 1                           h.  135 ÷ ________ = 1
                        i.  ________ ÷ 7 = 0                            j.   0 ÷ 16 = ________

                        k.  ________ ÷ 124 = 0

                    2.  Write the division facts for the following:

                        a.  7 × 5 = 35     : ________ , ________        b.   16 × 6 = 96     : ________ , ________

                        c.  10 × 12 = 120  : ________ , ________        d.   14 × 18 = 252  : ________ , ________

                        e.  9 × 15 = 135  : ________ , ________         f.   23 × 32 = 736  : ________ , ________

                    3.  Find the quotient and remainder by long division. Check your answer.
                        a.  77 ÷ 4               b.  78 ÷ 5               c.  84 ÷ 8               d.  54 ÷ 3

                        e.  80 ÷ 6               f.  81 ÷ 7               g.  46 ÷ 5               h.  66 ÷ 7

                       62        Mathematics 4

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