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

                    Step 5.  Repeat steps 1 to 3.
                                                                                         Checking
                               Compare: 49 > 6
                                                                                                48 × 6 + 1 = 289
                               Divide: 49 ÷ 6, quotient = 8
                                                                                                  288 + 1 = 289
                               Multiply: 6 × 8 = 48 ones
                                                                                         Thus, the division is correct.
                               Subtract: 49 – 48 = 1 one

                    Thus, quotient (Q) = 48, remainder (R) = 1.
                                                                                      Keep in Mind
                    Example 3. Divide 635 by 7.

                    Solution.          H t o                                     Division is not complete until each digit
                                          9 0      (Q)                           of the dividend has been processed
                                 7     6 3 5                                     and the subtraction  step  has been
                                    – 6 3                                        carried out.

                                       0 0 5
                                          – 0                                             Checking
                                             5     (R)
                                                                                               90 × 7 + 5 = 635
                                                                                                  630 + 5 = 635
                    6 < 7, so regroup hundreds and tens, then divide.

                    7 × 9 = 63                                                                         635 = 635
                    Bring down 5 from the dividend.                                       Thus, the division is correct.
                    Since 5 < 7, we use 0 times the multiplication table of 7.

                    Example 4. Divide 507 by 4.                           Example 5. Divide 800 by 7.

                    Solution.          H t o                              Solution.           H t o
                                       1 2 6       (Q)                                        1 1 4       (Q)
                                 4     5 0 7                                            7     8 0 0
                                    – 4                                                    – 7
                                       1 0                                                    1 0
                                       – 8                                                    – 7

                                          2 7                                                    3 0
                                       – 2 4                                                  – 2 8
                                             3     (R)                                              2     (R)

                     Checking                                              Checking

                           126 × 4 + 3 = 507                                      114 × 7 + 2 = 800
                              504 + 3 = 507                                          798 + 2 = 800

                     Thus, the division is correct.                        Thus, the division is correct.

                                                                                                                 101
                                                                                                     Division

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