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                 \ 19-Nov-2025  Bharat Arora   Proof-9             Reader’s Sign _______________________ Date __________





                example 6. The cost of 125 crockery sets is `1,04,500. What is the cost of one crockery
                set?                                                                                      8 3 6       Q

                Solution.  Cost of 125 crockery sets = `1,04,500                           125    1 0 4 5 0 0
                              Cost of 1 crockery set = `1,04,500 ÷ 125 = `836                   –  1 0 0 0

                Thus, the cost of one crockery set is `836.                                            4 5 0
                                                                                                     –  3 7 5

                example 7.  Delhi Jal Board supplied 978795 L of water in a                               7 5 0

                               colony which has 375 families. How much water                           –  7 5 0
                               did each family get if each family got the same                           0 0 0        R
                               amount  of water, and how much  water was
                               left?                                                                    2 6 1 0        Q

                Solution.  Total quantity of water supplied = 978795 L                      375    9 7 8 7 9 5
                                                                                                 –  7 5 0
                              Total number of families = 375
                                                                                                   2 2 8 7
                              Quantity of water each family got                                  –  2 2 5 0

                                                             = (978795 ÷ 375) L                         3 7 9

                Thus, each family of the colony got 2610 L of water, and                             –  3 7 5
                45 L of water was left.                                                                      4 5      R

                division by 10, 100 and 1000

                      When a number is divided by 10, the ones digit of the dividend becomes the
                       remainder and the number formed by the rest of the digits becomes the quotient.


                       For example:  a. 56738 ÷ 10, Q = 5673, R = 8
                                          b. 270364 ÷ 10, Q = 27036, R = 4


                      When a number is divided by 100, the number formed by the tens and ones
                       digits of the dividend becomes the remainder and the number formed by the
                       rest of the digits becomes the quotient.
                       For example:  a. 41036 ÷ 100, Q = 410, R = 36


                                          b. 521483 ÷ 100, Q = 5214, R = 83

                      When a number is divided by 1000, the number formed by the hundreds, tens
                       and ones digits of the dividend becomes the remainder and the number formed

                       by the rest of the digits becomes the quotient.

                       For example:  a. 69273 ÷ 1000, Q = 69, R = 273

                                          b. 500436 ÷ 1000, Q = 500, R = 436


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                                                                                    Mathematical Operations
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