Q: Division for this fraction ends with a remainder of zero?

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You do a long division, adding decimal digits until you get a remainder of zero (terminating decimal) or a repeating pattern of decimal digits.

When I did my division, the answer was 32 and the remainder was Zero

"... remainder after division ..."

2571

A number is divisible by another when the remainder of the division is zero.

Related questions

You do a long division, adding decimal digits until you get a remainder of zero (terminating decimal) or a repeating pattern of decimal digits.

When I did my division, the answer was 32 and the remainder was Zero

When the remainder is zero the answer is a whole number. Put that number over 1 for an improper fraction.

Division by zero is not possible in arithmetic.

The concept of divisibility (division without remainder) makes sense only for integers, not for fractions. Any non-zero fraction goes into another fraction.

-9 over anything but zero is a fraction. Division by zero is undefined.

"... remainder after division ..."

2571

To turn a remainder into a fraction you just put the remainder over the dividend. To turn a remainder into a decimal put a decimal in the divisor and in the answer so far, put a zero, bring the zero down and divide what you now have. If that does not come out evenly add another zero in the dividend and do that until it come out evenly

A number is divisible by another when the remainder of the division is zero.

a repeating decimal

You undertake a long division. Any fraction is a rational number and so its decimal representation must be terminating or recurring. A terminating decimal will mean that the long division reaches a point when the remainder is zero. A recurring decimal sequence is equivalent to the long division going through a cycle of remainders.