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    E:\Working\Focus_Learning\Math_Genius_3_(11-09-2024)\Open_Files\CHAP_05
                 \ 12-Sep-2024                      Surender Prajapati   Proof-5              Reader’s Sign _______________________ Date __________

                           practice time 5c

                  Divide the following and check your answer.

                  1.  67 ÷ 6                2.  56 ÷ 5                3.  88 ÷ 4                4.  70 ÷ 7

                  5.  999 ÷ 9               6.  889 ÷ 8               7.  508 ÷ 5               8.  634 ÷ 3

                  Division by 1-Digit number (With regrouping)

                  Division of a 2-digit number

                  example 1: Divide 78 by 2.

                  Solution:  Step 1.  Arrange the numbers in long division form.                         2 78    39    Q

                                 Step 2.   Divide 7 tens by 2. We know that 2 × 3 = 6 < 7 and               6
                                                                                                            18
                                           2 × 4 = 8 > 7.                                                   18
                                                                                                             0         R
                                             So, write 3 in tens place in the quotient and 6
                                           below 7.

                                 Step 3.   Subtract the digits of the tens column. 7 – 6 = 1

                                 Step 4.   Bring down 8 ones and regroup.  1 ten + 8 ones = 18 ones.

                                 Step 5.  Divide 18 ones by 2.            Checking:

                                             We have: 2 × 9 = 18,  (Quotient × Divisor) + Remainder = Dividend
                                           so write 9 in the ones                        (39 × 2) + 0 = 78
                                           place of the quotient                               78 + 0 = 78

                                                                                                  78 = 78
                                           and subtract                   Thus, the answer is correct.
                                           18 – 18 = 0
                                           Thus, quotient (Q) = 39, remainder (R) = 0.

                  Division of a 3-digit number

                  example 2: Divide 289 by 6.
                  Solution:  Step 1.   Divide 2 hundreds by 6. 2 < 6, so, 2 cannot be                  6 289    48     Q

                                           divided by 6.                                                  24
                                           So, regroup hundreds and tens.                                   49
                                                                                                            48
                                           2 hundreds + 8 tens = 28 tens                                     1    R

                                 Step 2: Divide 28 tens by 6. Since 6 × 4 = 24 < 28 and 6 × 5 = 30 > 28.

                                          So, write 4 in tens place of the quotient and 24 just below 28.
                                 Step 3: Subtract: 28 tens – 24 tens = 4 tens

                  94                                                                                    Mathematics-3

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