What is the notation used when writting the answer to a division in remainder notation?

Question

Not a big problem nor something mind boggoling, I just wanted to know if I were to write the answer for an equation such as 10/4, in remainder notation, would it be fine to write it as 2 r 2, or would I have to write 2 remainder 2?

Answer 1

It all depends on the context.

The $2$ remainder $2$ is more readable that $2r2$.

I would write it as $10=2\times 4+2$ or $\frac {10}{4}= 2+\frac {2}{4}$ or $Q=2$ and $R=2$

Answer 2

I believe the accepted notation is {quotient} R {remainder} for integer division and {quotient} + $\frac{remainder}{divisor}$ for polynomial division. So $\frac{50}{15} = 3 R 5$ and $\frac{x^2+x+1}{x} = x + 1+\frac1{x}$