diff --git a/src/ptx.jl b/src/ptx.jl
index 66880850..2082335f 100644
--- a/src/ptx.jl
+++ b/src/ptx.jl
@@ -154,8 +154,10 @@ function optimize_module!(@nospecialize(job::CompilerJob{PTXCompilerTarget}),
     # TODO: Use the registered target passes (JuliaGPU/GPUCompiler.jl#450)
     @dispose pb=NewPMPassBuilder() begin
         register!(pb, NVVMReflectPass())
+        register!(pb, PTXFDivFastPass())
 
         add!(pb, NVVMReflectPass())
+        add!(pb, PTXFDivFastPass())
 
         add!(pb, NewPMFunctionPassManager()) do fpm
             # needed by GemmKernels.jl-like code
@@ -486,3 +488,72 @@ function nvvm_reflect!(mod::LLVM.Module)
     return changed
 end
 NVVMReflectPass() = NewPMModulePass("custom-nvvm-reflect", nvvm_reflect!)
+
+# Triggered by the per-instruction `afn` fast-math flag or by target.fastmath=true.
+# Float32 → __nv_fast_fdividef; Float64 → rcp.approx.ftz.d + Newton refinement.
+function ptx_fdiv_fast!(mod::LLVM.Module)
+    job = current_job::CompilerJob
+    global_fastmath = job.config.target.fastmath
+    changed = false
+    @tracepoint "ptx-fdiv-fast" begin
+
+    f32 = LLVM.FloatType()
+    f64 = LLVM.DoubleType()
+
+    # Collect first to avoid mutation-during-iteration
+    to_replace = Tuple{LLVM.FDivInst, Bool}[]
+    for f in functions(mod), bb in blocks(f), inst in instructions(bb)
+        inst isa LLVM.FDivInst || continue
+        typ = LLVM.value_type(inst)
+        is_f32 = typ == f32
+        is_f64 = typ == f64
+        (is_f32 || is_f64) || continue
+        fmf = LLVM.fast_math(inst)
+        (fmf.afn || global_fastmath) || continue
+        push!(to_replace, (inst, is_f32))
+    end
+
+    isempty(to_replace) && return false
+
+    # Hoist all declarations and constants — looked up once, reused across all replacements.
+    fns = functions(mod)
+    f32_ft = LLVM.FunctionType(f32, [f32, f32])
+    f32_fn = haskey(fns, "__nv_fast_fdividef") ?
+        fns["__nv_fast_fdividef"] : LLVM.Function(mod, "__nv_fast_fdividef", f32_ft)
+    # Declare by name so LLVM keeps the exact (non-overloaded) intrinsic name;
+    # LLVM.Intrinsic + type params would mangle to *.f64, unrecognized by the NVPTX backend.
+    rcp_ft = LLVM.FunctionType(f64, [f64])
+    rcp_fn = haskey(fns, "llvm.nvvm.rcp.approx.ftz.d") ?
+        fns["llvm.nvvm.rcp.approx.ftz.d"] : LLVM.Function(mod, "llvm.nvvm.rcp.approx.ftz.d", rcp_ft)
+    fma_ft = LLVM.FunctionType(f64, [f64, f64, f64])
+    fma_fn = haskey(fns, "llvm.fma.f64") ?
+        fns["llvm.fma.f64"] : LLVM.Function(mod, "llvm.fma.f64", fma_ft)
+    one_f64 = ConstantFP(f64, 1.0)
+
+    @dispose builder=IRBuilder() begin
+        for (inst, is_f32) in to_replace
+            lhs, rhs = operands(inst)[1], operands(inst)[2]
+            position!(builder, inst)
+
+            replacement = if is_f32
+                call!(builder, f32_ft, f32_fn, [lhs, rhs])
+            else
+                inv_y   = call!(builder, rcp_ft, rcp_fn, [rhs])
+                neg_rhs = fneg!(builder, rhs)
+                # Newton refinement matching CUDA.jl's inv_fast(::Float64)
+                e       = call!(builder, fma_ft, fma_fn, [inv_y, neg_rhs, one_f64])
+                e       = call!(builder, fma_ft, fma_fn, [e, e, e])
+                inv_ref = call!(builder, fma_ft, fma_fn, [e, inv_y, inv_y])
+                fmul!(builder, lhs, inv_ref)
+            end
+
+            replace_uses!(inst, replacement)
+            erase!(inst)
+            changed = true
+        end
+    end
+
+    end # @tracepoint
+    return changed
+end
+PTXFDivFastPass() = NewPMModulePass("ptx-fdiv-fast", ptx_fdiv_fast!)
diff --git a/test/helpers/ptx.jl b/test/helpers/ptx.jl
index e82416bc..a12dc01c 100644
--- a/test/helpers/ptx.jl
+++ b/test/helpers/ptx.jl
@@ -38,10 +38,11 @@ GPUCompiler.runtime_module(::PTXCompilerJob) = PTXTestRuntime
 function create_job(@nospecialize(func), @nospecialize(types);
                     minthreads=nothing, maxthreads=nothing,
                     blocks_per_sm=nothing, maxregs=nothing,
+                    fastmath=false,
                     kwargs...)
     config_kwargs, kwargs = split_kwargs(kwargs, GPUCompiler.CONFIG_KWARGS)
     source = methodinstance(typeof(func), Base.to_tuple_type(types), Base.get_world_counter())
-    target = PTXCompilerTarget(; cap=v"7.0", minthreads, maxthreads, blocks_per_sm, maxregs)
+    target = PTXCompilerTarget(; cap=v"7.0", minthreads, maxthreads, blocks_per_sm, maxregs, fastmath)
     params = CompilerParams()
     config = CompilerConfig(target, params; kernel=false, config_kwargs...)
     CompilerJob(source, config), kwargs
diff --git a/test/ptx.jl b/test/ptx.jl
index 7010917a..eb5821ef 100644
--- a/test/ptx.jl
+++ b/test/ptx.jl
@@ -419,5 +419,46 @@ end
     PTX.code_native(devnull, mod.kernel, Tuple{Float32,Ptr{Float32}})
 end
 
+@testset "fastmath division" begin
+    mod_fast = @eval module $(gensym())
+        function kernel_f32(x::Float32, y::Float32)
+            @fastmath x / y
+        end
+        function kernel_f64(x::Float64, y::Float64)
+            @fastmath x / y
+        end
+    end
+
+    mod_precise = @eval module $(gensym())
+        function kernel_f32(x::Float32, y::Float32)
+            x / y
+        end
+        function kernel_f64(x::Float64, y::Float64)
+            x / y
+        end
+    end
+
+    @test @filecheck begin
+        @check "__nv_fast_fdividef"
+        PTX.code_native(mod_fast.kernel_f32, Tuple{Float32, Float32})
+    end
+
+    @test @filecheck begin
+        @check_not "__nv_fast_fdividef"
+        @check_not "div.approx"
+        PTX.code_native(mod_precise.kernel_f32, Tuple{Float32, Float32})
+    end
+
+    @test @filecheck begin
+        @check "rcp.approx.ftz.f64"
+        PTX.code_native(mod_fast.kernel_f64, Tuple{Float64, Float64})
+    end
+
+    @test @filecheck begin
+        @check_not "rcp.approx"
+        PTX.code_native(mod_precise.kernel_f64, Tuple{Float64, Float64})
+    end
+end
+
 end
 end # NVPTX in LLVM.backends()