diff --git a/src/main/java/pythagoras/i/MathUtil.java b/src/main/java/pythagoras/i/MathUtil.java
index c5770d6..e156816 100644
--- a/src/main/java/pythagoras/i/MathUtil.java
+++ b/src/main/java/pythagoras/i/MathUtil.java
@@ -17,4 +17,20 @@ public class MathUtil
         if (value > high) return high;
         return value;
     }
+
+    /**
+     * Computes the floored division {@code dividend/divisor} which is useful when dividing
+     * potentially negative numbers into bins.
+     *
+     * <p> For example, the following numbers {@code floorDiv} 10 are:
+     * <pre>
+     * -15 -10 -8 -2 0 2 8 10 15
+     *  -2  -1 -1 -1 0 0 0  1  1
+     * </pre>
+     */
+    public static int floorDiv (int dividend, int divisor) {
+        boolean numpos = dividend >= 0, denpos = divisor >= 0;
+        if (numpos == denpos) return dividend / divisor;
+        return denpos ? (dividend - divisor + 1) / divisor : (dividend - divisor - 1) / divisor;
+    }
 }
diff --git a/src/test/java/pythagoras/i/MathUtilTest.java b/src/test/java/pythagoras/i/MathUtilTest.java
new file mode 100644
index 0000000..66c823d
--- /dev/null
+++ b/src/test/java/pythagoras/i/MathUtilTest.java
@@ -0,0 +1,22 @@
+//
+// Pythagoras - a collection of geometry classes
+// http://github.com/samskivert/pythagoras
+
+package pythagoras.i;
+
+import org.junit.*;
+import static org.junit.Assert.*;
+
+/**
+ * Tests parts of the {@link MathUtil} class.
+ */
+public class MathUtilTest
+{
+    @Test public void testFloorDiv () {
+        int[] nums = { -15, -10, -8, -2, 0, 2, 8, 10, 15 };
+        int[] vals = {  -2,  -1, -1, -1, 0, 0, 0,  1,  1 };
+        for (int ii = 0; ii < nums.length; ii++) {
+            assertEquals(vals[ii], MathUtil.floorDiv(nums[ii], 10));
+        }
+    }
+}