diff --git a/spec/API_specification/elementwise_functions.md b/spec/API_specification/elementwise_functions.md
index 861ff87fe..191d48d67 100644
--- a/spec/API_specification/elementwise_functions.md
+++ b/spec/API_specification/elementwise_functions.md
@@ -347,10 +347,6 @@ Calculates the division for each element `x1_i` of the input array `x1` with the
- divisor input array. Must be compatible with `x1` (see :ref:`broadcasting`).
-- **out**: _Optional\[ <array> ]_
-
- - output array. If provided, the output array must be compatible with the provided input arrays (see :ref:`broadcasting`). If not provided or is `None`, an uninitialized return array must be created and then filled with the result of each element-wise computation. Default: `None`.
-
#### Returns
- **out**: _<array>_
@@ -443,6 +439,26 @@ Rounds each element `x_i` of the input array `x` to the greatest (i.e., closest
- an array containing the rounded result for each element in `x`.
+### # floor_divide(x1, x2, /)
+
+Rounds the result of dividing each element `x1_i` of the input array `x1` by the respective element `x2_i` of the input array `x2` to the greatest (i.e., closest to `+infinity`) integer-value number that is not greater than the division result.
+
+#### Parameters
+
+- **x1**: _<array>_
+
+ - dividend input array.
+
+- **x2**: _<array>_
+
+ - divisor input array. Must be compatible with `x1` (see :ref:`broadcasting`).
+
+#### Returns
+
+- **out**: _<array>_
+
+ - an array containing the element-wise results.
+
### # greater(x1, x2, /)
Computes the truth value of `x1_i > x2_i` for each element `x1_i` of the input array `x1` with the respective element `x2_i` of the input array `x2`.
@@ -839,6 +855,26 @@ Calculates an implementation-dependent approximation of exponentiation by raisin
- an array containing the element-wise results.
+### # remainder(x1, x2, /)
+
+Returns the remainder of division for each element `x1_i` of the input array `x1` and the respective element `x2_i` of the input array `x2`.
+
+#### Parameters
+
+- **x1**: _<array>_
+
+ - dividend input array.
+
+- **x2**: _<array>_
+
+ - divisor input array. Must be compatible with `x1` (see :ref:`broadcasting`).
+
+#### Returns
+
+- **out**: _<array>_
+
+ - an array containing the element-wise results. Each element-wise result must have the same sign as the respective element `x2_i`.
+
### # round(x, /)
Rounds each element `x_i` of the input array `x` to the nearest integer-valued number.