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              \\December 8, 2023 9:53 AM   Bharat Arora   P-6           Reader _________________________   Date: ___________________74





                            Step 5:   Divide 23 tens by 3. We have quotient 7 and remainder 2.
                             Step 6:  Bring  down the ones digit  1 next to  the                                     Q

                                       remainder 2, making it 21.                               3 4731     1577
                                                                                                   3
                             Step 7:  Now, divide 21 ones by 3. We have quotient                   17

                                       7 and remainder 0.                                          15
                                                                                                   023
                            So, the quotient is 1577 and the remainder is 0.                         21
                            Thus, Q = 1577 and R = 0                                                 021

              Checking:  We have,                                                                      21
                            Quotient × Divisor + Remainder                                             00     (R)

                                            = 1577 × 3 + 0  = 4731 = Dividend

              example 2: Divide: 5437 ÷ 6.
              Solution:                  Dividend


                             Divisor   6 5437     906     Q
                                          54                           If the  number  formed after bringing  down  a
                                            037                        digit is smaller than the divisor, put a ‘zero’ in
                                             36                        the  quotient and  bring  down  the next digit  of
                                               1    R                  dividend to continue the process of division.
                            Thus, Q = 906, R = 1

              Checking:  Quotient × Divisor + Remainder = 906 × 6 + 1 = 5437 = Dividend

              example 3: Divide 83218 by 7 and verify your answer.                                             11888
              Solution:  Step 1:  Divide the ten thousands by 7.                                           7 83218
                                                                                                               7
                                       8 ten thousands ÷ 7 = 1 ten thousand and remainder = 1                 13

                             Step 2:  Bring down the thousands digit. Divide the thousands,                     7
                                                                                                                62
                                       by 7.                                                                    56

                                       13 thousands ÷ 7 = 1 thousand and remainder = 6                            61
                                                                                                                  56
                             Step 3:  Bring down the hundreds digit. Divide the hundreds by 7.                     58

                                       62 hundreds ÷ 7 = 8 hundreds and remainder = 6                              56
                                                                                                                     2
                             Step 4:  Bring down the tens digit. Divide the tens by 7.
                                       61 tens ÷ 7 = 8 tens and remainder = 5

                             Step 5:  Now, bring down the ones.                                   Note

                                       Divide the ones by 7.                         Remainder in the division
                                                                                     process should  always be less
                                       58 ones ÷ 7 = 8 ones                          than the divisor. If a remainder
                                       and remainder = 2                             is more than the divisor, then,
                                                                                     check division because in such
                             Thus, 83218 ÷ 7 gives Q = 11888 and R = 2               case it is incorrect.


              Mathematics-4                                                                                          73
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