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                 \ 10-Nov-2025  Bharat Arora   Proof-8                                    Reader’s Sign _______________________ Date __________





                Checking:  Quotient × Divisor + Remainder =  Dividend
                                                          8 × 17 + 9 =  145
                                                            136 + 9 =  145
                Therefore, the division is correct.

                example 5. Divide 556 by 36.
                Solution.
                Step 1.  5 < 36, so divide 55 by 36.

                           Here, 36 goes 1 time (1 × 36 = 36) into 55 with a remainder                     1 5        Q
                           of 19. Put 1 in the tens place of the quotient and bring down
                           the next digit 6 alongside the remainder 19, making it 196.             36    5 5 6
                Step 2.  Divide 196 by 36. Here, 36 goes 5 times (5 x 36 = 180) into                   –  3 6
                           196 with a remainder of 16. Put 5 in the ones place of the                    1 9 6
                           quotient.                                                                  –  1 8 0

                           So, Q = 15, R = 16.                                                             1 6        R
                Checking:  Quotient × Divisor + Remainder =  Dividend
                                                       15 × 36 + 16 =  556
                                                          540 + 16 =  556

                Therefore, the division is correct.




                            Exercise 4C


                    1.  Divide to find the quotient and remainder.

                       a.  94 ÷ 13              b.  88 ÷ 43              c.  72 ÷ 28               d.  95 ÷ 30
                       e.  78 ÷ 25              f.  68 ÷ 32              g.  90 ÷ 42               h.  81 ÷ 55
                       i.  96 ÷ 18              j.  60 ÷ 24              k.  84 ÷ 27               l.  79 ÷ 63
                   2.  Divide to find the quotient and remainder.

                       a.  867 ÷ 14             b.  450 ÷ 12             c.  864 ÷ 27              d.  525 ÷ 32
                       e.  837 ÷ 27             f.  470 ÷ 55             g.  562 ÷ 78              h.  503 ÷ 32
                       i.  564 ÷ 32             j.  683 ÷ 51             k.  390 ÷ 45              l.  231 ÷ 57
                   3.  Divide and check your answer.

                       a.  69 ÷ 24              b.  49 ÷ 18              c.  102 ÷ 20              d.  241 ÷ 26
                       e.  84 ÷ 17              f.  95 ÷ 16              g.  67 ÷ 41               h.  75 ÷ 28
                       i.  667 ÷ 21             j.  376 ÷ 14             k.  606 ÷ 49              l.  165 ÷ 67

                   4.  Find the divisor if:
                       a.  Quotient = 85, Remainder = 6 and Dividend = 1026
                       b.  Quotient = 93, Remainder = 11 and Dividend = 2522
                       [hint: Subtract Remainder from Dividend and divide the difference by Quotient]



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