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Division of a 4-Digit Number by a 1-Digit Number

            Start from the thousands digit of the d ividend and continue in the same manner as you
            divide a 3-digit number.

            Example 1:      For a test match, 4,785 tickets were sold in 5 days. If on each day, the same
                            number of tickets were sold, how many tickets were sold in 1 day?

            Solution:       4,785 ÷ 5
                                    957
                              5   4785                                        Remember
                                – 45                                           The remainder should

                                 028                                           always be less than the
                                                                               divisor.
                                 –  25

                                   035
                                   – 35
                                     00

                            So, 957 tickets were sold in one day.

                            Check: 4,785 ÷ 5 = 957
                            (Divisor × Quotient) + Remainder
                            = (5 × 957) + 0 = 4,785 + 0 = 4,785

                            = Dividend
                            Thus, the division is correct.

            Example 2:      Divide 9,427 by 6 and check your answer.

            Solution:              1571
                              6   9427                                        Remember
                                – 6
                                                                               Keep on dividing till all
                                 34                                            digits in the dividend are
                               –  30                                           finished.

                                   42
                                 – 42
                                     07
                                    – 6
                                        1

                            Check: 9,427 ÷ 6 = 1,571, remainder = 1
                            (Divisor × Quotient) + Remainder
                            = (6 × 1,571) + 1 = 9,426 + 1 = 9,427

                            = Dividend
                            Thus, the division is correct.



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