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    E:\Working\Orange_Education\TouchPad_Maths_4\Open_Files\Chap_04\Chap_04
                     \ 10-Nov-2025  Bharat Arora   Proof-8                                    Reader’s Sign _______________________ Date __________

                    DiviSion by A 1-Digit DiviSor

                    example 1. Divide 943 by 5.                                                                 1 8 8     Q
                    Solution.                                                                              5   9 4 3

                    Step 1.  Start dividing from the highest place. Since 9 > 5, divide 9 by 5.              –  5
                              From the multiplication table, we have:
                                                                                                               4 4
                                                   1 × 5 = 5, 2 × 5 = 10                                     –  4 0

                               10 > 9 > 5. So, write 1 in the hundreds place of the quotient
                                                                                                                  4 3
                              and 5 below 9.                                                                   –  4 0
                    Step 2.  Subtract 5 from 9 which gives 9 – 5 = 4.                                               3     R
                    Step 3.  Bring down 4 next to 4. The new dividend is 44.

                              Again, 8 × 5 = 40, 9 × 5 = 45
                              45 > 44 > 40. So, write 8 in the tens place of the quotient and 40 below 44.

                    Step 4.  Subtract 40 from 44. We have 44 – 40 = 4.
                    Step 5.  Bring down 3 next to 4. We get the dividend 43.

                              Divide 43 by 5. The result is 8 with a remainder of 3.                            1 8 8
                              So, quotient = 188, remainder = 3.                                                  × 5

                    Checking: Quotient × Divisor + Remainder = Dividend                                        9 4 0
                                            188 × 5 + 3 = 943                                                     + 3
                              Therefore, the division is correct.                                              9 4 3

                    example 2. Divide 456 by 6.
                    Solution.

                    Step 1.  As 4 < 6, start with 45 as the dividend.                                             7 6     Q
                              From the multiplication table, we have:                                     6    4 5 6
                                                   7 × 6 = 42, 8 × 6 = 48                                    –  4 2
                              48 > 45 > 42. So, write 7 in the tens place of the quotient and
                              42 below 45.                                                                        3 6

                    Step 2.  Subtract 42 from 45. This gives 45 – 42 = 3.                                      –  3 6
                    Step 3.  Bring down 6 just to the right side of 3. Now, the dividend                            0     R
                              becomes 36.

                              Again,               6 × 6 = 36
                    Step 4.  Write 36 below 36 and subtract.
                                               36 – 36 = 0
                              So, quotient = 76, remainder = 0.

                    Checking: Quotient × Divisor + Remainder = Dividend                                           7 6
                                             76 × 6 + 0 = 456                                                     × 6

                               Therefore, the division is correct.                                             4 5 6

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                                                                                                     Division

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