Finding remainders with a calculatorIf you use long division to divide 369 by 7, you obtai...

Finding remainders with a calculator

If you use long division to divide 369 by 7, you obtain:

If you use a calculator to find 369 ÷ 7, the answer is displayed as 52.71428571. Observe that the integer part of this calculator answer, 52, is the quotient when you do the problem by long division. The usual “checking procedure” for long division shows that

 7 · 52 + 5 = 369 or, equivalently 369 − 7 · 52 = 5.

Thus, the remainder is

Use this method to find the quotient and remainder in these problems:

(a) 5683 ÷ 9

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(b) 1,000,000 ÷ 19

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(c) 53,000,000 ÷ 37