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Why must the remainder be smaller than the divisor?
If the remained was bigger than the divisor than the divisor could still be taken out of the remainder
Is there a such thing as a remainder being bigger than the quotient?
Yes, certainly. A quotient is the result of division ( a divisor into a dividend). The remainder can be bigger than the quotient, but not bigger than the divisor. For example 130 divided by 20 =6 with remainder of 10. Here 6 is the quotient and remainder is 10, which is bigger than the quotient
Why should the remainder be less than the divisor?
Because if the remainder is greater, then you could "fit" another divisor value into it. if they are equal, then you can divide it easily. Thus, the remainder is always lower than the divisor.
Why must the remainder be less than the divisor?
The remainder is less than the divisor because if the remainder was greater than the divisor, you have the wrong quotient. In other words, you should increase your quotient until your remainder is less than your divisor!
Can the quotient be bigger than the divisor?
most definitely, especially if the divisor is a negative number
