diff --git a/src/ptx.jl b/src/ptx.jl
index e5763e8d..ebfce4f7 100644
--- a/src/ptx.jl
+++ b/src/ptx.jl
@@ -262,8 +262,10 @@ 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
@@ -555,3 +557,86 @@ function nvvm_reflect!(mod::LLVM.Module)
     return changed
 end
 NVVMReflectPass() = NewPMModulePass("custom-nvvm-reflect", nvvm_reflect!)
+
+# Same source NVPTX' `useF32FTZ` reads — `apply_fastmath!` sets it when
+# `target.fastmath=true`. Used here to pick FTZ variants for the f32 rewrite.
+function f32_ftz(f::LLVM.Function)
+    for attr in collect(LLVM.function_attributes(f))
+        attr isa LLVM.StringAttribute || continue
+        LLVM.kind(attr) == "denormal-fp-math-f32" || continue
+        return startswith(LLVM.value(attr), "preserve-sign")
+    end
+    return false
+end
+
+# Rewrite `afn`-flagged `fdiv` to NVPTX' fast lowerings. `apply_fastmath!`
+# propagates job-wide `target.fastmath=true` as per-instruction `afn`, so the
+# single flag check covers both per-call `@fastmath` and the job toggle. We
+# emit NVPTX intrinsics directly (rather than libdevice `__nv_*`) so this
+# doesn't depend on which libdevice symbols got linked in.
+#
+# - f32 → `llvm.nvvm.div.approx{,.ftz}.f`. Redundant on LLVM 21+, where
+#   `getDivF32Level` honors `afn`; LLVM 18 only consults
+#   `TargetMachine.Options.UnsafeFPMath`, which is unreachable through LLVM.jl.
+# - f64 → `rcp.approx.ftz.d` + one Newton step (NVPTX has no fast f64 fdiv).
+function ptx_fdiv_fast!(mod::LLVM.Module)
+    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
+        is_f32 = LLVM.value_type(inst) == f32
+        is_f64 = LLVM.value_type(inst) == f64
+        (is_f32 || is_f64) || continue
+        LLVM.fast_math(inst).afn || continue
+        push!(to_replace, (inst, is_f32))
+    end
+    isempty(to_replace) && return false
+
+    # declare intrinsics by name so LLVM keeps the exact non-overloaded names;
+    # LLVM.Intrinsic + type params would mangle to *.f64, unrecognized by NVPTX.
+    fns = functions(mod)
+    declare(name, ft) = haskey(fns, name) ? fns[name] : LLVM.Function(mod, name, ft)
+    f32_ft = LLVM.FunctionType(f32, [f32, f32])
+    div_f32     = declare("llvm.nvvm.div.approx.f",     f32_ft)
+    div_f32_ftz = declare("llvm.nvvm.div.approx.ftz.f", f32_ft)
+    rcp_ft = LLVM.FunctionType(f64, [f64])
+    rcp_f64 = declare("llvm.nvvm.rcp.approx.ftz.d", rcp_ft)
+    fma_ft = LLVM.FunctionType(f64, [f64, f64, f64])
+    fma_f64 = declare("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
+                # TODO: drop f32 path once we require LLVM 21+.
+                f = LLVM.parent(LLVM.parent(inst))
+                call!(builder, f32_ft, f32_ftz(f) ? div_f32_ftz : div_f32, [lhs, rhs])
+            else
+                inv_y   = call!(builder, rcp_ft, rcp_f64, [rhs])
+                neg_rhs = fneg!(builder, rhs)
+                # Newton refinement, matching CUDA.jl's `FastMath.inv_fast(::Float64)`
+                e       = call!(builder, fma_ft, fma_f64, [inv_y, neg_rhs, one_f64])
+                e       = call!(builder, fma_ft, fma_f64, [e, e, e])
+                inv_ref = call!(builder, fma_ft, fma_f64, [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/ptx.jl b/test/ptx.jl
index 2ae4a150..34466ef3 100644
--- a/test/ptx.jl
+++ b/test/ptx.jl
@@ -462,6 +462,39 @@ end
     end
 end
 
+@testset "fastmath division" begin
+    # `PTXFDivFastPass` rewrites `afn`-flagged fdiv. f32 → `div.approx{,.ftz}.f32`
+    # (filling in for LLVM 18, whose `getDivF32Level` doesn't honor per-call
+    # `afn`); f64 → `rcp.approx.ftz.d` + Newton refinement (NVPTX has no fast
+    # f64 fdiv lowering). Job-wide `fastmath=true` reaches this through the
+    # per-instruction flags `apply_fastmath!` stamps in `finish_linked_module!`.
+    mod_fast = @eval module $(gensym())
+        kernel_f32(x::Float32, y::Float32) = @fastmath x / y
+        kernel_f64(x::Float64, y::Float64) = @fastmath x / y
+    end
+    mod_precise = @eval module $(gensym())
+        kernel_f32(x::Float32, y::Float32) = x / y
+        kernel_f64(x::Float64, y::Float64) = x / y
+    end
+
+    @test @filecheck begin
+        @check "div.approx.f32"
+        PTX.code_native(mod_fast.kernel_f32, Tuple{Float32, Float32})
+    end
+    @test @filecheck begin
+        @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
+
 @testset "feature_set" begin
     # PTXCompilerTarget.feature_set controls the suffix on the LLVM CPU name, which is
     # what the NVPTX backend uses to flip `hasArchAccelFeatures()`. Verify it makes its