# remainder(dividingBy:) Returns the remainder of this value divided by the given value. ``` func remainder(dividingBy other: Self) -> Self ``` ## Parameters `other` The value to use when dividing this value. ## Return Value The remainder of this value divided by `other`. ## Discussion For two finite values `x` and `y`, the remainder `r` of dividing `x` by `y` satisfies `x == y * q + r`, where `q` is the integer nearest to `x / y`. If `x / y` is exactly halfway between two integers, `q` is chosen to be even. Note that `q` is *not* `x / y` computed in floating-point arithmetic, and that `q` may not be representable in any available integer type. The following example calculates the remainder of dividing 8.625 by 0.75: ``` let x = 8.625 print(x / 0.75) // Prints "11.5" let q = (x / 0.75).rounded(.toNearestOrEven) // q == 12.0 let r = x.remainder(dividingBy: 0.75) // r == -0.375 let x1 = 0.75 * q + r // x1 == 8.625 ``` If this value and `other` are finite numbers, the remainder is in the closed range `-abs(other / 2)...abs(other / 2)`. The `remainder(dividingBy:)` method is always exact. This method implements the remainder operation defined by the [IEEE 754 specification](http://ieeexplore.ieee.org/servlet/opac?punumber=4610933). --- Copyright © 2026 Apple Inc. All rights reserved. | [Terms of Use](https://www.apple.com/legal/internet-services/terms/site.html) | [Privacy Policy](https://www.apple.com/privacy/privacy-policy)