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    E:\Working\Orange_Education\TouchPad_Maths_4\Open_Files\Chap_04\Chap_04
                 \ 12-Nov-2025  Bharat Arora   Proof-8                                     Reader’s Sign _______________________ Date __________

                Example 3. Divide 4366 by 3.

                Solution.                                                                                1 4 5 5       Q
                Step 1.  4 > 3. Divide 4 by 3.                                                      3    4 3 6 6
                                                                                                       –  3
                           We have the quotient 1 and remainder 1.
                Step 2.  Bring down 3 alongside the remainder 1,                                         1 3
                           making it 13.                                                               –  1 2

                Step 3.  Divide  13 by  3. We  have the  quotient  4                                        1 6
                           and remainder 1.                                                              –  1 5
                Step 4.  Bring  down the  third  digit  6 next  to  the                                       1 6
                           remainder 1, making it 16.                                                       –  1 5

                Step 5.  Divide 16 by 3. We have the quotient 5 and remainder 1.                                 1     R
                Step 6.  Bring down the fourth digit 6 next to the remainder 1, making it 16.

                Step 7.  Divide 16 by 3. We have the quotient 5 and remainder 1.                          1 4 5 5
                           So, the quotient is 1455 and the remainder is 1.                                   × 3

                Checking: Quotient × Divisor + Remainder = Dividend                                      4 3 6 5
                                        1455 × 3 + 1 = 4366                                                    + 1

                           Therefore, the division is correct.                                           4 3 6 6

                Example 4. Divide the following:
                             a.  2748 ÷ 8                                 b.  5437 ÷ 6

                Solution.  a.  2748 ÷ 8                                   b.  5437 ÷ 6
                                          3 4 3     Q
                                                                                                     9 0 6      Q
                                   8   2 7 4 8                                                6    5 4 3 7
                                     –  2 4                 If the number which you have         –  5 4

                                          3 4               brought down is smaller than
                                       –  3 2                the divisor, put ‘zero’ in the          0 3
                                                          quotient just above the digit you          – 0
                                            2 8             have brought down. Read the              0 3 7
                                          –  2 4             divisor ‘0’ times to proceed            – 3 6

                                              4     R         with the division further.                  1     R
                                 So, Q = 343, R = 4.                          So, Q = 906, R = 1.
                Checking:                                             Checking:

                Quotient × Divisor + Remainder = Dividend             Quotient × Divisor + Remainder = Dividend
                               343 × 8 + 4 = 2748                                    906 × 6 + 1 = 5437

                                  2744 + 4 = 2748                                       5436 + 1 = 5437
                Therefore, the division is correct.                   Therefore, the division is correct.

                       64        Mathematics 4

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