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               \ 30-Sep-2025  Bharat Arora   Proof-9                                 Reader’s Sign _______________________ Date __________





                             Step 4:  Bring  down the tens
                                       digit.  Divide  the tens              Get it right!
                                       digit 9 by 9.                    2 2420 121              2 2420 1210

                                         We  have  Q  = 1 and              2                       2
                                       R = 0; put 1 in the tens            04                      04
                                       place of the quotient.               4                       4
                                                                            02
                                                                                                    02
                             Step 5:  Bring  down  the  ones                  2                       2
                                       digit.                                 00                       00
                                         Since  the  ones digit  is
                                       ‘0’, put ‘0’ in the ones place of the quotient and R is also 0.

                            Thus, Q = 10010 and R = 0.
              Checking:  Divisor × Quotient + Remainder

                             = 9 × 10,010 + 0 = 90,090 + 0 = 90,090 = Dividend
                            So, the answer is correct.


                       Practice time 4b

                1.  Divide the following and check your answer.

                    (a)  5029 ÷ 2           (b)  3536 ÷ 6            (c)  6932 ÷ 7           (d)  4476 ÷ 8

                    (e)  37548 ÷ 4           (f)  22416 ÷ 5          (g)  10957 ÷ 6          (h)  80430 ÷ 8
                2.  Find the remainder for the following by using the formula:

                    Remainder = Dividend – Quotient × Divisor
                    [Hint: First multiply the quotient and divisor, then subtract the product from the
                    dividend.]

                    (a)  Quotient = 809, Divisor = 6, Dividend = 4858
                    (b)  Quotient = 568, Divisor = 5, Dividend = 2843

                    (c)  Quotient = 914, Divisor = 9, Dividend = 8234

              Division of 4- anD 5-Digit numbers by a 2-Digit number


              Division  by a 2-digit  divisor  can  be  done in  the  same  way as  division  by a  1-digit
              divisor. In this kind of division, multiplication tables help us.

              Example 1: Divide 8976 by 15.
              Solution:  Step 1:  Since 8 < 15, divide the first leading partial dividend 89 by 15.

                                       Now, 15 × 5 = 75 and 15 × 6 = 90.
                                       75 < 89 and 90 > 89

                                       Thus, 15 goes into 89 five times.
                                        Write 5 in the hundreds place of the quotient and 75 below 89.


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