To find a number with these properties, let’s model this number.
Any natural number that, when divided by 5, gives a remainder of 4, can be written as follows:
5 * a + 4,
where a is any integer.
Substitute the smallest possible number for a, i.e. 0:
5 * 0 + 4 = 4.
Then dividing 4 by 5 gives 0 and the remainder is 4.
If it is necessary that there is an integer part during division, then substitute one instead of a:
5 * 1 + 4 = 9;
9: 5 = 1 (4 in the remainder).
Answer: 4 or 9 (depending on the condition).
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