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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 __________

                DiviDing A 4-Digit nUmber by A 2-Digit DiviSor

                example 1. Divide 8976 by 15.                                                              5 9 8      Q

                Solution.                                                                         15    8 9 7 6
                Step 1.  Since 8 < 15, divide 89 by 15.                                               –  7 5

                           Now, 15 × 5 = 75 and 15 × 6 = 90.                                            1 4 7
                                                                                                     –  1 3 5
                           75 < 89 and 90 > 89
                                                                                                           1 2 6
                           Thus, 15 goes into 89 five times.                                            –  1 2 0

                           Write 5 just above 9 in the quotient and 75 below 89.                               6       R

                Step 2.  Subtract 75 from 89 to get 14 as the remainder. Bring down 7 to make it 147.

                Step 3.  Divide 147 by 15. 15 goes into 147 nine times as 15 × 9 = 135 < 147.

                           Write 9 next to 5 in the quotient and 135 below 147.

                Step 4.  Subtract 135 from 147 to get 12 as the remainder. Bring down 6 to make it 126.
                Step 5.  Divide 126 by 15. 15 goes into 126 eight times as 15 × 8 = 120 < 126.

                           Write 8 next to 9 in the quotient and 120 below 126.

                Step 6.  Subtract 120 from 126 to get 6 as the remainder.

                           So, Quotient = 598, Remainder = 6.

                Checking: Quotient × Divisor + Remainder = Dividend

                                       598 × 15 + 6 = 8976

                                          8970 + 6 = 8976

                Therefore, the division is correct.

                example 2. Divide 8709 by 24 and check your answer.

                Solution. Here, Dividend = 8709 and Divisor = 24

                By long division, we have:                                                    3 6 2        Q

                                          Quotient = 362, Remainder = 21              2 4   8 7 0 9
                                                                                          –  7 2           (24 × 3 = 72)
                Checking: Quotient × Divisor + Remainder = Dividend
                                                                                             1 5 0
                                      362 × 24 + 21 = 8709                                – 1 4 4          (24 × 6 = 144)

                                          8688 + 21 = 8709                                       6 9

                                               8709 = 8709                                     –  4 8      (24 × 2 = 48)

                Therefore, the division is correct.                                              2 1          R

                       68        Mathematics 4

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