diff --git a/lib/matplotlib/stackplot.py b/lib/matplotlib/stackplot.py
index 8a34f97c389a..5706dda3aed1 100644
--- a/lib/matplotlib/stackplot.py
+++ b/lib/matplotlib/stackplot.py
@@ -91,10 +91,12 @@ def stackplot(axes, x, *args, **kwargs):
         m, n = y.shape
         center = np.zeros(n)
         total = np.sum(y, 0)
+        # multiply by 1/total (or zero) to avoid infinities in the division:
+        inv_total = np.where(total > 0, 1./total, 0)
         increase = np.hstack((y[:, 0:1], np.diff(y)))
         below_size = total - stack
         below_size += 0.5 * y
-        move_up = below_size / total
+        move_up = below_size * inv_total
         move_up[:, 0] = 0.5
         center = (move_up - 0.5) * increase
         center = np.cumsum(center.sum(0))
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diff --git a/lib/matplotlib/tests/test_axes.py b/lib/matplotlib/tests/test_axes.py
index 45c2bb679db2..c9c11c7edfe3 100644
--- a/lib/matplotlib/tests/test_axes.py
+++ b/lib/matplotlib/tests/test_axes.py
@@ -1392,6 +1392,7 @@ def bump(a):
         return a
 
     d = layers(3, 100)
+    d[50,:] = 0  # test for fixed weighted wiggle (issue #6313)
 
     fig = plt.figure()