Question

divide and check your answer by division algorithms: a) ​43579 ÷94​

Answer 1

In 43579 ÷ 94​, the divisor is 94, the quotient is 463 and the remainder is 57.

Given:

43579 ÷ 94​

To Find:

43579 ÷ 94​ =? and checking it using the division algorithm.

Solution:
We will use the long division method to solve 43579 ÷ 94​

94) 43579 (463

     376

-------------------

        597

        564

-------------------

           339

           282

--------------------

              57

The division algorithm is given by

Divident = Divisor × Quotient + Remainder

Here, Dividend = 43579, Divisor = 94, Quotient = 463, Remainder = 57

So, LHS = Dividend = 43579

RHS = Divisor × Quotient + Remainder

RHS = 94 × 463 + 57

RHS = 43522 + 57

RHS = 43579

Hence, LHS = RHS

The division algorithm is satisfied.

In 43579 ÷ 94​, the divisor is 94, the quotient is 463 and the remainder is 57.

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