diff --git a/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/expressions/arithmetic.scala b/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/expressions/arithmetic.scala
index cb7ba16aeb81..88b409c4e867 100644
--- a/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/expressions/arithmetic.scala
+++ b/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/expressions/arithmetic.scala
@@ -653,6 +653,15 @@ trait DivModLike extends BinaryArithmetic {
     case _ => x => x == 0
   }
 
+  // Whether the divisor is a non-null and non-zero literal (foldable divisors are already folded
+  // to a literal before codegen). When true, the divide-by-zero check is dead code (it can never
+  // trigger), so codegen skips emitting both the check and its otherwise-unreachable error-context
+  // reference.
+  private lazy val divisorIsNonZero: Boolean = right match {
+    case Literal(divisor, _) => divisor != null && !isZero(divisor)
+    case _ => false
+  }
+
   final override def eval(input: InternalRow): Any = {
     // evaluate right first as we have a chance to skip left if right is 0
     val input2 = right.eval(input)
@@ -705,7 +714,9 @@ trait DivModLike extends BinaryArithmetic {
       s"${eval2.value} == 0"
     }
     val javaType = CodeGenerator.javaType(dataType)
-    val errorContextCode = getContextOrNullCode(ctx, failOnError)
+    // Lazy so the error-context reference is only registered when actually emitted; a statically
+    // non-zero divisor (see divisorIsNonZero) skips the divide-by-zero check that would use it.
+    lazy val errorContextCode = getContextOrNullCode(ctx, failOnError)
     val operation = super.dataType match {
       case DecimalType.Fixed(precision, scale) =>
         val castUtils = classOf[CastUtils].getName
@@ -741,25 +752,34 @@ trait DivModLike extends BinaryArithmetic {
 
     // evaluate right first as we have a chance to skip left if right is 0
     if (!left.nullable && !right.nullable) {
-      val divByZero = if (failOnError) {
-        s"throw ${divideByZeroErrorCode(ctx)};"
+      val divisionBody =
+        s"""
+           |${eval1.code}
+           |$checkIntegralDivideOverflow
+           |$operation""".stripMargin
+      // A statically non-zero divisor makes the zero check dead code, so emit only the division.
+      val guardedBody = if (divisorIsNonZero) {
+        divisionBody
       } else {
-        s"${ev.isNull} = true;"
+        val divByZero = if (failOnError) {
+          s"throw ${divideByZeroErrorCode(ctx)};"
+        } else {
+          s"${ev.isNull} = true;"
+        }
+        s"""
+           |if ($isZero) {
+           |  $divByZero
+           |} else {$divisionBody
+           |}""".stripMargin
       }
       ev.copy(code = code"""
         ${eval2.code}
         boolean ${ev.isNull} = false;
         $javaType ${ev.value} = ${CodeGenerator.defaultValue(dataType)};
-        if ($isZero) {
-          $divByZero
-        } else {
-          ${eval1.code}
-          $checkIntegralDivideOverflow
-          $operation
-        }""")
+        $guardedBody""")
     } else {
-      val nullOnErrorCondition = if (failOnError) "" else s" || $isZero"
-      val failOnErrorBranch = if (failOnError) {
+      val nullOnErrorCondition = if (failOnError || divisorIsNonZero) "" else s" || $isZero"
+      val failOnErrorBranch = if (failOnError && !divisorIsNonZero) {
         s"if ($isZero) throw ${divideByZeroErrorCode(ctx)};"
       } else {
         ""
@@ -1079,6 +1099,14 @@ case class Pmod(
     case _ => x => x == 0
   }
 
+  // Whether the divisor is a non-null and non-zero literal (foldable divisors are already folded
+  // to a literal before codegen). When true, the remainder-by-zero check is dead code, so codegen
+  // skips emitting it.
+  private lazy val divisorIsNonZero: Boolean = right match {
+    case Literal(divisor, _) => divisor != null && !isZero(divisor)
+    case _ => false
+  }
+
   private lazy val pmodFunc: (Any, Any) => Any = dataType match {
     case _: IntegerType => (l, r) => MathUtils.pmod(l.asInstanceOf[Int], r.asInstanceOf[Int])
     case _: LongType => (l, r) => MathUtils.pmod(l.asInstanceOf[Long], r.asInstanceOf[Long])
@@ -1119,7 +1147,9 @@ case class Pmod(
     }
     val remainder = ctx.freshName("remainder")
     val javaType = CodeGenerator.javaType(dataType)
-    val errorContext = getContextOrNullCode(ctx)
+    // Lazy so the error-context reference is only registered when actually emitted; a statically
+    // non-zero divisor (see divisorIsNonZero) skips the remainder-by-zero check that would use it.
+    lazy val errorContext = getContextOrNullCode(ctx)
     val mathUtils = MathUtils.getClass.getCanonicalName.stripSuffix("$")
     val result = dataType match {
       case DecimalType.Fixed(precision, scale) =>
@@ -1146,24 +1176,33 @@ case class Pmod(
 
     // evaluate right first as we have a chance to skip left if right is 0
     if (!left.nullable && !right.nullable) {
-      val divByZero = if (failOnError) {
-        s"throw QueryExecutionErrors.remainderByZeroError($errorContext);"
+      val remainderBody =
+        s"""
+           |${eval1.code}
+           |$result""".stripMargin
+      // A statically non-zero divisor makes the zero check dead code, so emit only the remainder.
+      val guardedBody = if (divisorIsNonZero) {
+        remainderBody
       } else {
-        s"${ev.isNull} = true;"
+        val divByZero = if (failOnError) {
+          s"throw QueryExecutionErrors.remainderByZeroError($errorContext);"
+        } else {
+          s"${ev.isNull} = true;"
+        }
+        s"""
+           |if ($isZero) {
+           |  $divByZero
+           |} else {$remainderBody
+           |}""".stripMargin
       }
       ev.copy(code = code"""
         ${eval2.code}
         boolean ${ev.isNull} = false;
         $javaType ${ev.value} = ${CodeGenerator.defaultValue(dataType)};
-        if ($isZero) {
-          $divByZero
-        } else {
-          ${eval1.code}
-          $result
-        }""")
+        $guardedBody""")
     } else {
-      val nullOnErrorCondition = if (failOnError) "" else s" || $isZero"
-      val failOnErrorBranch = if (failOnError) {
+      val nullOnErrorCondition = if (failOnError || divisorIsNonZero) "" else s" || $isZero"
+      val failOnErrorBranch = if (failOnError && !divisorIsNonZero) {
         s"if ($isZero) throw QueryExecutionErrors.remainderByZeroError($errorContext);"
       } else {
         ""
diff --git a/sql/catalyst/src/test/scala/org/apache/spark/sql/catalyst/expressions/ArithmeticExpressionSuite.scala b/sql/catalyst/src/test/scala/org/apache/spark/sql/catalyst/expressions/ArithmeticExpressionSuite.scala
index 7d659fca5df2..f8cdf825bc4c 100644
--- a/sql/catalyst/src/test/scala/org/apache/spark/sql/catalyst/expressions/ArithmeticExpressionSuite.scala
+++ b/sql/catalyst/src/test/scala/org/apache/spark/sql/catalyst/expressions/ArithmeticExpressionSuite.scala
@@ -912,6 +912,41 @@ class ArithmeticExpressionSuite extends SparkFunSuite with ExpressionEvalHelper
     }
   }
 
+  test("SPARK-57198: skip the divide-by-zero check when the divisor is a non-zero literal") {
+    def codeOf(e: Expression): String = e.genCode(new CodegenContext).code.toString
+
+    Seq(true, false).foreach { ansi =>
+      withSQLConf(SQLConf.ANSI_ENABLED.key -> ansi.toString) {
+        // A non-zero literal divisor makes the zero check dead code; codegen must not emit it.
+        Seq(
+          Divide(Literal(1.0), Literal(2.0)),
+          Remainder(Literal(7), Literal(3)),
+          IntegralDivide(Literal(7L), Literal(3L)),
+          Pmod(Literal(7), Literal(3))).foreach { e =>
+          val code = codeOf(e)
+          assert(!code.contains("ByZeroError"),
+            s"expected no by-zero check for a non-zero literal divisor in $e:\n$code")
+        }
+
+        // A variable (non-foldable) divisor keeps the check: in ANSI mode the by-zero error must
+        // still be generated.
+        Seq(
+          Divide(
+            BoundReference(0, DoubleType, nullable = false),
+            BoundReference(1, DoubleType, nullable = false)),
+          Pmod(
+            BoundReference(0, IntegerType, nullable = false),
+            BoundReference(1, IntegerType, nullable = false))).foreach { e =>
+          val code = codeOf(e)
+          if (ansi) {
+            assert(code.contains("ByZeroError"),
+              s"expected a by-zero check for a variable divisor in $e:\n$code")
+          }
+        }
+      }
+    }
+  }
+
   test("SPARK-34677: exact add and subtract of day-time and year-month intervals") {
     Seq(EvalMode.ANSI, EvalMode.LEGACY).foreach { evalMode =>
       checkExceptionInExpression[ArithmeticException](