Answer :

Matheng
In partial-quotients division, it takes several steps to find the quotient. At each step, you find a partial answer (called a partial quotient); then you find the product of the partial quotient and divisor and subtract it from the dividend. Finally, you add all the partial quotients to find the final quotient.

See the attached figure.

So, the answer is ⇒ [tex] \frac{36}{540} = \frac{1}{15} [/tex]

Answer and explanation;

= 1/15 is the answer get when 36 is divided by 540 .

We can use the partial quotients to divide 540 by 36 then we get the reciprocal of the answer;

540 ÷ 36

We can take 360 ÷ 36 = 10

Then the remainder is ; 540 -360 = 180

But ; 180 ÷36 = 5

Then we get the sum of the quotients which is 10 +5 = 15

Thus; 540 ÷ 36 = 15

However; the question was 36 ÷ 540 , so we get the reciprocal of 15;

= 36 ÷ 540 = 1/15

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