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               \ 01-Oct-2025  Bharat Arora   Proof-10                                       Reader’s Sign _______________________ Date __________





                             Step 4: Bring down 9 ones. We have 4 tens + 9 ones = 49 ones.

                             Step 5:  Divide 49 ones by 6. 6 × 8 = 48 < 49 and 6 × 9 = 54 > 49.
                                       So, write 8 in ones place in the quotient and 48 just below 49.

                                       Subtract: 49 – 48 = 1                            Checking:
                                                                                           48 × 6 + 1 =  289
                                      Thus, Q = 48, R = 1
                                                                                                288 + 1 = 289
              Following similar steps, we can divide other 3-digit or 4-digit                     289 =  289
              numbers.                                                                  Thus, the division is correct.

              Example 3: Divide 800 by 7.                             Example 4: Divide 8709 by 9.

              Solution:       7 800   114     Q                        Solution:      9 8709   967    Q

                                 7                                                      81
                                 10                                                       60
                                  7                                                       54
                                  30                                                         69
                                  28                                                         63
                                    2   R                                                      6  R

                           Checking:                                           Checking:
                              114 × 7 + 2 =  800                                   967 × 9 + 6 =  8709
                                 798 + 2 =  800                                      8703 + 6 = 8709
                                    800 =  800                                        8709 = 8709
                           Thus, the division is correct.                      Thus, the division is correct.




                      Think Tank                                                                              Critical Thinking

                    Fill in the circles with the correct digits to complete the division.

                    1.  3 7 6                    2.  4 9   8   4              3.  7 5  7  4  9
                           6                                                         5  6
                              6                           8                              4


                                                                                           9







                       practice time 5D

              Divide the following and check your answer.

                    1.  63 ÷ 4               2.  89 ÷ 5               3.  59 ÷ 7              4.  97 ÷ 6

                    5.  49 ÷ 3               6.  92 ÷ 8               7.  803 ÷ 6             8.  634 ÷ 4





              Mathematics-3                                                                                          95
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