# rem1

rem1(x,m)

Remainder after division, returning in the range (0,m]

## Examples

rem1(x, m)

Compute the remainder after dividing `x` by `m`, returning a value within the range (0, m].

``````julia> rem1(10, 3)
1

julia> rem1(-5, 7)
2``````

Examples of how to use the `rem1` function:

1. Calculate the remainder after division:

``````julia> rem1(20, 6)
2``````

This example calculates the remainder when dividing 20 by 6.

2. Handle negative numbers:

``````julia> rem1(-12, 5)
3``````

The `rem1` function handles negative numbers correctly and returns the remainder within the specified range.

3. Ensure the remainder is within the specified range:
``````julia> rem1(25, 7)
4``````

Regardless of the value of `x`, the `rem1` function always returns a remainder that lies within the range (0, m].

Common mistake example:

``````julia> rem1(10, -3)
ERROR: DomainError: The divisor provided to rem1 must be positive.``````

In this example, a negative divisor is provided to the `rem1` function. The divisor must be positive for the function to work correctly. Make sure to provide a positive value for `m` to avoid such errors.