diff --git a/src/bigmath/chain/chain.cpp b/src/bigmath/chain/chain.cpp
index 379a014..ef81620 100644
--- a/src/bigmath/chain/chain.cpp
+++ b/src/bigmath/chain/chain.cpp
@@ -54,9 +54,7 @@ namespace bigmath {
     chain::chain(chain&& c) noexcept
         : start(c.start), middle(c.middle), end(c.end) {
         // Reset source object
-        c.start = nullptr;
-        c.middle = nullptr;
-        c.end = nullptr;
+        c.start = c.middle = c.end = nullptr;
     }
 
     chain& chain::operator=(const chain& c) noexcept {
@@ -71,18 +69,9 @@ namespace bigmath {
 
     chain& chain::operator=(chain&& c) noexcept {
         if (this != &c) {
-            // Free existing nodes first
-            this->~chain();
-
-            // Transfer ownership
-            start = c.start;
-            middle = c.middle;
-            end = c.end;
-
-            // Reset source object
-            c.start = nullptr;
-            c.middle = nullptr;
-            c.end = nullptr;
+            chain temp(std::move(*this));
+            start = c.start; middle = c.middle; end = c.end;
+            c.start = c.middle = c.end = nullptr;
         }
         return *this;
     }
@@ -100,6 +89,40 @@ namespace bigmath {
         start = middle = end = nullptr;
     }
 
+    chain::operator bool() const noexcept {
+        return start && middle && end;
+    }
+
+    std::array<chain::link*, 2> chain::split() const noexcept {
+        // find link* pointers by walking to the middle
+        if(!start) return { nullptr, nullptr };
+        if(start == middle) return { start, end };
+
+        // <- L [* * *] [{*} * * *] R <- //
+        chain::link* a_left = end;
+        chain::link* a_mid = end;
+        chain::link* a_right = middle->next;
+
+        // this must be odd
+        while(a_left != a_right) {
+            a_mid = a_left->prev;
+
+            a_left = a_left->prev;
+            a_right = a_right->next;
+        }
+
+        chain::link* b_left = middle;
+        chain::link* b_right = start;
+
+        // this must be even
+        while(b_left->next != b_right) {
+            b_left = b_left->prev;
+            b_right = b_right->next;
+        }
+
+        return { b_left, a_mid };
+    }
+
     void chain::grow() noexcept {
         // (*) -> (*) [{*} *]
         // * (*) * -> * (*) {*} [* *]
@@ -227,7 +250,11 @@ namespace bigmath {
         }
 
         // normalize
-        while(shrink()) ;
+        while (shrink());
     }
 
+    // ============================================================================ //
+    //                                 MULTIPLICATION                               //
+    // ============================================================================ //
+
 }
diff --git a/src/bigmath/chain/chain.hpp b/src/bigmath/chain/chain.hpp
index 28cc5b1..134bfe1 100644
--- a/src/bigmath/chain/chain.hpp
+++ b/src/bigmath/chain/chain.hpp
@@ -4,6 +4,11 @@
 
 #include <bigmath/chain/segment.hpp>
 
+#include <bigmath/util/util.hpp>
+
+#include <array>
+
+
 namespace bigmath {
 
     /**
@@ -51,24 +56,32 @@ namespace bigmath {
 
         ~chain() noexcept;
 
-    public:
-
-        std::array<chain, 2> split() noexcept;
-
     public:
 
         void add(const chain& c) noexcept;
 
         void sub(const chain& c) noexcept;
 
-        void mul_long(const chain& c) noexcept;
+        chain mul_long(const chain& c) noexcept;
 
-        void mul_(const chain& c) noexcept;
+        chain mul_karatsuba(const chain& c) noexcept;
 
-        void mul_karatsuba(const chain& c) noexcept;
+        chain mul_toomcook3(const chain& c) noexcept;
+
+        div_result<chain> div_long(const chain& c) noexcept;
+
+        chain div_newtonraphson(const chain& c) noexcept;
+
+        chain div_goldschmidt(const chain& c) noexcept;
+
+        chain div_burnikelziegler(const chain& c) noexcept;
 
     public:
 
+        operator bool() const noexcept;
+
+        std::array<link*, 2> split() const noexcept;
+
         /**
          * Grows the chain by two links.
          * This growth strategy keeps the middle
diff --git a/src/bigmath/chain/util.hpp b/src/bigmath/chain/util.hpp
deleted file mode 100644
index ee0c484..0000000
--- a/src/bigmath/chain/util.hpp
+++ /dev/null
@@ -1,11 +0,0 @@
-#pragma once
-
-#include <bigmath/BigMath.hpp>
-
-#include <array>
-
-namespace bigmath {
-
-    u64 ipow(u64 b, u64 p);
-
-}
\ No newline at end of file
diff --git a/src/bigmath/chain/util.cpp b/src/bigmath/util/util.cpp
similarity index 100%
rename from src/bigmath/chain/util.cpp
rename to src/bigmath/util/util.cpp
diff --git a/src/bigmath/util/util.hpp b/src/bigmath/util/util.hpp
new file mode 100644
index 0000000..7da441b
--- /dev/null
+++ b/src/bigmath/util/util.hpp
@@ -0,0 +1,15 @@
+#pragma once
+
+#include <bigmath/BigMath.hpp>
+
+namespace bigmath {
+
+    template<typename T>
+    struct div_result {
+        T quot;
+        T remain;
+    };
+
+    u64 ipow(u64 b, u64 p);
+
+}
\ No newline at end of file