diff --git a/src/utils.js b/src/utils.js
index 5c3557865..54ae1c6dd 100644
--- a/src/utils.js
+++ b/src/utils.js
@@ -1,6 +1,8 @@
 import { findDOMNode } from 'react-dom';
 import keyCode from 'rc-util/lib/KeyCode';
 
+const MAX_PRECISION_FOR_OPERATIONS = 15;
+
 export function isEventFromHandle(e, handles) {
   try {
     return Object.keys(handles)
@@ -19,28 +21,51 @@ export function isNotTouchEvent(e) {
     (e.type.toLowerCase() === 'touchend' && e.touches.length > 0);
 }
 
+export function getPrecision(step) {
+  const stepString = step.toString();
+  let precision = 0;
+  if (stepString.indexOf('.') >= 0) {
+    precision = stepString.length - stepString.indexOf('.') - 1;
+  }
+  return precision;
+}
+
+function withPrecision(value, precision) {
+  return parseFloat(value.toFixed(precision));
+}
+
+// safeDivideBy and safeMultiply: if either term is a float,
+// then round the result to the combined precision
+
+function safeDivideBy(a, b) {
+  const precision = Math.min(
+    getPrecision(a) + getPrecision(b),
+    MAX_PRECISION_FOR_OPERATIONS
+  );
+  return precision === 0 ? a / b : withPrecision(a / b, precision);
+}
+
+function safeMultiply(a, b) {
+  const precision = Math.min(
+    getPrecision(a) + getPrecision(b),
+    MAX_PRECISION_FOR_OPERATIONS
+  );
+  return withPrecision(a * b, precision);
+}
+
 export function getClosestPoint(val, { marks, step, min, max }) {
   const points = Object.keys(marks).map(parseFloat);
   if (step !== null) {
-    const maxSteps = Math.floor((max - min) / step);
-    const steps = Math.min((val - min) / step, maxSteps);
+    const maxSteps = Math.floor(safeDivideBy(max - min, step));
+    const steps = Math.min(safeDivideBy(val - min, step), maxSteps);
     const closestStep =
-            Math.round(steps) * step + min;
+            safeMultiply(Math.round(steps), step) + min;
     points.push(closestStep);
   }
   const diffs = points.map(point => Math.abs(val - point));
   return points[diffs.indexOf(Math.min(...diffs))];
 }
 
-export function getPrecision(step) {
-  const stepString = step.toString();
-  let precision = 0;
-  if (stepString.indexOf('.') >= 0) {
-    precision = stepString.length - stepString.indexOf('.') - 1;
-  }
-  return precision;
-}
-
 export function getMousePosition(vertical, e) {
   return vertical ? e.clientY : e.pageX;
 }
@@ -70,7 +95,7 @@ export function ensureValuePrecision(val, props) {
   const { step } = props;
   const closestPoint = isFinite(getClosestPoint(val, props)) ? getClosestPoint(val, props) : 0; // eslint-disable-line
   return step === null ? closestPoint :
-    parseFloat(closestPoint.toFixed(getPrecision(step)));
+    withPrecision(closestPoint, getPrecision(step));
 }
 
 export function pauseEvent(e) {
diff --git a/tests/utils.test.js b/tests/utils.test.js
index 4e8381f01..843833041 100644
--- a/tests/utils.test.js
+++ b/tests/utils.test.js
@@ -38,5 +38,17 @@ describe('utils', () => {
 
       expect(utils.getClosestPoint(value, props)).toBe(96);
     });
+
+    it('should properly handle floating point arithmetic', () => {
+      const value = 5.3;
+      const props = {
+        marks: {},
+        step: 0.05,
+        min: 0,
+        max: 5.3
+      };
+
+      expect(utils.getClosestPoint(value, props)).toBe(5.3);
+    });
   });
 });