diff --git a/gluon/authapi.py b/gluon/authapi.py
index 4bc7727f..3347cb68 100644
--- a/gluon/authapi.py
+++ b/gluon/authapi.py
@@ -115,7 +115,7 @@ class AuthAPI(object):
             if auth.last_visit and auth.last_visit + delta > now:
                 self.user = auth.user
                 # this is a trick to speed up sessions to avoid many writes
-                if (now - auth.last_visit).seconds > (auth.expiration / 10):
+                if (now - auth.last_visit).seconds > (auth.expiration // 10):
                     auth.last_visit = now
             else:
                 self.user = None
diff --git a/gluon/contrib/imageutils.py b/gluon/contrib/imageutils.py
index 28cf10e0..a5c24b69 100644
--- a/gluon/contrib/imageutils.py
+++ b/gluon/contrib/imageutils.py
@@ -45,7 +45,7 @@ class RESIZE(object):
                 background = Image.new('RGBA', (self.nx, self.ny), (255, 255, 255, 0))
                 background.paste(
                     img,
-                    ((self.nx - img.size[0]) / 2, (self.ny - img.size[1]) / 2))
+                    ((self.nx - img.size[0]) // 2, (self.ny - img.size[1]) // 2))
                 background.save(s, 'JPEG', quality=self.quality)
             else:
                 img.save(s, 'JPEG', quality=self.quality)
diff --git a/gluon/sqlhtml.py b/gluon/sqlhtml.py
index 59ebbeea..8b1d5c52 100644
--- a/gluon/sqlhtml.py
+++ b/gluon/sqlhtml.py
@@ -405,7 +405,7 @@ class RadioWidget(OptionsWidget):
         cols = attributes.get('cols', 1)
         totals = len(options)
         mods = totals % cols
-        rows = totals / cols
+        rows = totals // cols
         if mods:
             rows += 1
 
@@ -471,7 +471,7 @@ class CheckboxesWidget(OptionsWidget):
         cols = attributes.get('cols', 1)
         totals = len(options)
         mods = totals % cols
-        rows = totals / cols
+        rows = totals // cols
         if mods:
             rows += 1
 
diff --git a/gluon/tools.py b/gluon/tools.py
index 0ff96de6..1f54e746 100644
--- a/gluon/tools.py
+++ b/gluon/tools.py
@@ -1762,7 +1762,7 @@ class Auth(AuthAPI):
             if auth.last_visit and auth.last_visit + delta > now:
                 self.user = auth.user
                 # this is a trick to speed up sessions to avoid many writes
-                if (now - auth.last_visit).seconds > (auth.expiration / 10):
+                if (now - auth.last_visit).seconds > (auth.expiration // 10):
                     auth.last_visit = now
             else:
                 self.user = None
@@ -5531,15 +5531,15 @@ def prettydate(d, T=lambda x: x, utc=False):
     else:
         suffix = ' ago'
     if dt.days >= 2 * 365:
-        return T('%d years' + suffix) % int(dt.days / 365)
+        return T('%d years' + suffix) % int(dt.days // 365)
     elif dt.days >= 365:
         return T('1 year' + suffix)
     elif dt.days >= 60:
-        return T('%d months' + suffix) % int(dt.days / 30)
+        return T('%d months' + suffix) % int(dt.days // 30)
     elif dt.days >= 27:  # 4 weeks ugly
         return T('1 month' + suffix)
     elif dt.days >= 14:
-        return T('%d weeks' + suffix) % int(dt.days / 7)
+        return T('%d weeks' + suffix) % int(dt.days // 7)
     elif dt.days >= 7:
         return T('1 week' + suffix)
     elif dt.days > 1:
@@ -5547,11 +5547,11 @@ def prettydate(d, T=lambda x: x, utc=False):
     elif dt.days == 1:
         return T('1 day' + suffix)
     elif dt.seconds >= 2 * 60 * 60:
-        return T('%d hours' + suffix) % int(dt.seconds / 3600)
+        return T('%d hours' + suffix) % int(dt.seconds // 3600)
     elif dt.seconds >= 60 * 60:
         return T('1 hour' + suffix)
     elif dt.seconds >= 2 * 60:
-        return T('%d minutes' + suffix) % int(dt.seconds / 60)
+        return T('%d minutes' + suffix) % int(dt.seconds // 60)
     elif dt.seconds >= 60:
         return T('1 minute' + suffix)
     elif dt.seconds > 1:
diff --git a/gluon/utils.py b/gluon/utils.py
index 85d7d49f..3b26a51b 100644
--- a/gluon/utils.py
+++ b/gluon/utils.py
@@ -156,12 +156,12 @@ def get_digest(value):
         raise ValueError("Invalid digest algorithm: %s" % value)
 
 DIGEST_ALG_BY_SIZE = {
-    128 / 4: 'md5',
-    160 / 4: 'sha1',
-    224 / 4: 'sha224',
-    256 / 4: 'sha256',
-    384 / 4: 'sha384',
-    512 / 4: 'sha512',
+    128 // 4: 'md5',
+    160 // 4: 'sha1',
+    224 // 4: 'sha224',
+    256 // 4: 'sha256',
+    384 // 4: 'sha384',
+    512 // 4: 'sha512',
 }