when I divide I come up with 4 with a remainder of 4.
What do you mean? If you divide 1 by 4 you get a remainder of 4, yes.
sounds like your number is 4k+4
To understand how you arrived at a quotient of 4 with a remainder of 4, let's break down the division process.
First, let's denote the dividend (the number being divided) as D, and the divisor (the number you are dividing by) as d. In your case, the dividend is not given, so we'll call it D.
Now, when you divide D by d, the quotient (the result of the division) is denoted as Q, and the remainder is denoted as R.
So, in mathematical terms, your division can be represented as:
D ÷ d = Q with a remainder of R
In your case, you divided and obtained a quotient of 4 with a remainder of 4. We can rewrite this as:
D ÷ d = 4 with a remainder of 4
To determine the value of D, we need additional information. If you provide a value for either D or d, I can help you solve for the other variable.