diff --git a/X86Disassembler/X86/Handlers/FloatingPoint/Arithmetic/Fprem1Handler.cs b/X86Disassembler/X86/Handlers/FloatingPoint/Arithmetic/Fprem1Handler.cs
new file mode 100644
index 0000000..872fff6
--- /dev/null
+++ b/X86Disassembler/X86/Handlers/FloatingPoint/Arithmetic/Fprem1Handler.cs
@@ -0,0 +1,61 @@
+namespace X86Disassembler.X86.Handlers.FloatingPoint.Arithmetic;
+
+/// <summary>
+/// Handler for FPREM1 instruction (D9 F5) - Computes the IEEE-compliant partial remainder of ST(0) ÷ ST(1)
+/// </summary>
+public class Fprem1Handler : InstructionHandler
+{
+    /// <summary>
+    /// Initializes a new instance of the Fprem1Handler class
+    /// </summary>
+    /// <param name="decoder">The instruction decoder that owns this handler</param>
+    public Fprem1Handler(InstructionDecoder decoder)
+        : base(decoder)
+    {
+    }
+
+    /// <summary>
+    /// Checks if this handler can decode the given opcode
+    /// </summary>
+    /// <param name="opcode">The opcode to check</param>
+    /// <returns>True if this handler can decode the opcode</returns>
+    public override bool CanHandle(byte opcode)
+    {
+        // FPREM1 is D9 F5
+        if (opcode != 0xD9) return false;
+
+        if (!Decoder.CanReadByte())
+            return false;
+
+        // Check if the next byte is F5
+        byte nextByte = Decoder.PeakByte();
+        return nextByte == 0xF5;
+    }
+    
+    /// <summary>
+    /// Decodes an FPREM1 instruction
+    /// </summary>
+    /// <param name="opcode">The opcode of the instruction</param>
+    /// <param name="instruction">The instruction object to populate</param>
+    /// <returns>True if the instruction was successfully decoded</returns>
+    public override bool Decode(byte opcode, Instruction instruction)
+    {
+        if (!Decoder.CanReadByte())
+            return false;
+
+        // Read the second byte of the opcode
+        byte secondByte = Decoder.ReadByte();
+        
+        // Verify the opcode is correct
+        if (secondByte != 0xF5)
+            return false;
+        
+        // Set the instruction type
+        instruction.Type = InstructionType.Fprem1;
+        
+        // FPREM1 has no operands
+        instruction.StructuredOperands = [];
+        
+        return true;
+    }
+}
diff --git a/X86Disassembler/X86/Handlers/FloatingPoint/Arithmetic/FxtractHandler.cs b/X86Disassembler/X86/Handlers/FloatingPoint/Arithmetic/FxtractHandler.cs
new file mode 100644
index 0000000..78f57e5
--- /dev/null
+++ b/X86Disassembler/X86/Handlers/FloatingPoint/Arithmetic/FxtractHandler.cs
@@ -0,0 +1,61 @@
+namespace X86Disassembler.X86.Handlers.FloatingPoint.Arithmetic;
+
+/// <summary>
+/// Handler for FXTRACT instruction (D9 F4) - Extracts the exponent and significand from the ST(0) value
+/// </summary>
+public class FxtractHandler : InstructionHandler
+{
+    /// <summary>
+    /// Initializes a new instance of the FxtractHandler class
+    /// </summary>
+    /// <param name="decoder">The instruction decoder that owns this handler</param>
+    public FxtractHandler(InstructionDecoder decoder)
+        : base(decoder)
+    {
+    }
+
+    /// <summary>
+    /// Checks if this handler can decode the given opcode
+    /// </summary>
+    /// <param name="opcode">The opcode to check</param>
+    /// <returns>True if this handler can decode the opcode</returns>
+    public override bool CanHandle(byte opcode)
+    {
+        // FXTRACT is D9 F4
+        if (opcode != 0xD9) return false;
+
+        if (!Decoder.CanReadByte())
+            return false;
+
+        // Check if the next byte is F4
+        byte nextByte = Decoder.PeakByte();
+        return nextByte == 0xF4;
+    }
+    
+    /// <summary>
+    /// Decodes an FXTRACT instruction
+    /// </summary>
+    /// <param name="opcode">The opcode of the instruction</param>
+    /// <param name="instruction">The instruction object to populate</param>
+    /// <returns>True if the instruction was successfully decoded</returns>
+    public override bool Decode(byte opcode, Instruction instruction)
+    {
+        if (!Decoder.CanReadByte())
+            return false;
+
+        // Read the second byte of the opcode
+        byte secondByte = Decoder.ReadByte();
+        
+        // Verify the opcode is correct
+        if (secondByte != 0xF4)
+            return false;
+        
+        // Set the instruction type
+        instruction.Type = InstructionType.Fxtract;
+        
+        // FXTRACT has no operands
+        instruction.StructuredOperands = [];
+        
+        return true;
+    }
+}
diff --git a/X86Disassembler/X86/Handlers/InstructionHandlerFactory.cs b/X86Disassembler/X86/Handlers/InstructionHandlerFactory.cs
index 479167c..776cdba 100644
--- a/X86Disassembler/X86/Handlers/InstructionHandlerFactory.cs
+++ b/X86Disassembler/X86/Handlers/InstructionHandlerFactory.cs
@@ -415,6 +415,8 @@ public class InstructionHandlerFactory
         _handlers.Add(new FloatingPoint.Transcendental.Fyl2xHandler(_decoder));   // FYL2X (D9 F1)
         _handlers.Add(new FloatingPoint.Transcendental.FptanHandler(_decoder));   // FPTAN (D9 F2)
         _handlers.Add(new FloatingPoint.Transcendental.FpatanHandler(_decoder));  // FPATAN (D9 F3)
+        _handlers.Add(new FloatingPoint.Arithmetic.FxtractHandler(_decoder));    // FXTRACT (D9 F4)
+        _handlers.Add(new FloatingPoint.Arithmetic.Fprem1Handler(_decoder));     // FPREM1 (D9 F5)
         
         // Other floating point handlers
         _handlers.Add(new FloatingPoint.Control.FnstswHandler(_decoder));         // FNSTSW AX (DF E0)