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    E:\Working\Focus_Learning\Math_Genius_3_(11-09-2024)\Open_Files\CHAP_05
                 \ 12-Sep-2024                      Surender Prajapati   Proof-5              Reader’s Sign _______________________ Date __________

                  6.  Find the quotient (Q) and the remainder (R) in the following. Also, check your
                       answer.

                       (a)   8 67   ; Q = ____, R = ____                 (b)   9 50   ; Q = ____, R = ____

                       (c)   3 25   ; Q = ____, R = ____                 (d)   6 38   ; Q = ____, R = ____

                  Division by 1-Digit number (Without regrouping)

                  Division of a 2-digit number

                  Swati bought 68 packets of biscuits. She wants to distribute

                  them among the children of 2 orphanages.
                  Would you like to help her in the division?

                  Let us divide 68 by 2 in the following way, so that each orphanage
                  gets the equal number of packets of biscuits.

                  Step 1: First, arrange the numbers in the long-division form.

                  Step 2:  Then divide 6 tens by 2.                                                      2 68     34 Q
                           We know that 2 × 3 = 6, so, 6 tens ÷ 2 = 3 tens.                                 6

                            Write 3 in the tens place of the quotient and write 6 in the tens               08
                                                                                                             8
                            place below the dividend.                                                        0         R

                  Step 3:  Subtract the digits of the tens column. 6 – 6 = 0
                  Step 4: Now, 0 < 2, so bring down 8 ones.

                  Step 5:  Divide 8 ones by 2.
                            We know that 2 × 4 = 8, so 8 ones ÷ 2 = 4 ones

                            Write 4 in the ones place of the              Checking:
                            quotient and 8 in the ones place              (Quotient × Divisor) + Remainder = Dividend

                            below the dividend as shown.                     (34 × 2) + 0 = 68
                  Step 6:  Subtract the digits of the ones                   68 + 0 =  68

                           column. 8 – 8 = 0                              Thus, the answer is correct.
                           Thus, quotient (Q) = 34, Remainder (R) = 0

                           Therefore, each orphanage gets 34 packets of biscuits.
                  example 1: Divide the following:

                                         (a)  77 ÷ 7              (b) 89 ÷ 4                       Remember
                  Solution: (a)       7 77     11 Q          (b)    4 89     22   Q         Addition, subtraction and
                                         7                             8                    multiplication are performed
                                                                                            from right to left, but
                                         07                            09                   division is performed from
                                           7                            8                   left to right.
                                           0        R                   1         R

                  92                                                                                    Mathematics-3

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