QuestionCalculate the quotient and remainder for $593 \div 36$ using only basic calculator operations.

Studdy Solution

STEP 1

Assumptions1. The dividend is593. The divisor is363. We can only use the four basic operations addition, subtraction, multiplication, and division

STEP 2

First, we need to estimate how many times36 can go into593. This will give us an initial guess for the quotient. We can do this by dividing593 by36.
$Quotient\, estimate = Dividend / Divisor$

STEP 3

Now, plug in the given values for the dividend and divisor to estimate the quotient.
$Quotient\, estimate =593 /36$

STEP 4

Calculate the quotient estimate.
$Quotient\, estimate =593 /36 \approx16$

STEP 5

Now, we multiply the quotient estimate by the divisor to get an estimate of the dividend.
$Dividend\, estimate = Quotient\, estimate \\times Divisor$

STEP 6

Plug in the values for the quotient estimate and the divisor to calculate the dividend estimate.
$Dividend\, estimate =16 \\times36$

STEP 7

Calculate the dividend estimate.
$Dividend\, estimate =16 \\times36 =576$

STEP 8

Now, we subtract the dividend estimate from the actual dividend to get the remainder.
$Remainder = Dividend - Dividend\, estimate$

STEP 9

Plug in the values for the dividend and the dividend estimate to calculate the remainder.
$Remainder =593 -576$

STEP 10

Calculate the remainder.
$Remainder =593 -576 =17$ The quotient is16 and the remainder is17.

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