(RS) = temp
```
+## `cldivrem` Carry-less Division and Remainder
+
+`cldivrem` isn't an actual instruction, but is just used in the pseudo-code
+for other instructions.
+
+[[!inline pages="bitmanip_inlines/cldivrem.py" raw="true"]]
+
## `cldiv` Carry-less Division
```
--- /dev/null
+def cldivrem(n, d, width):
+ """ Carry-less Division and Remainder.
+ `n` and `d` are integers, `width` is the number of bits needed to hold
+ each input/output.
+ Returns a tuple `q, r` of the quotient and remainder.
+ """
+ assert d != 0, "TODO: decide what happens on division by zero"
+ assert 0 <= n < 1 << width, f"bad n (doesn't fit in {width}-bit uint)"
+ assert 0 <= d < 1 << width, f"bad d (doesn't fit in {width}-bit uint)"
+ r = n
+ q = 0
+ r_shift = 0
+ d_shift = 0
+ msb = 1 << (width - 1)
+ for _ in range(width):
+ if r & msb:
+ if d & msb:
+ r ^= d
+ q |= 1
+ else:
+ d <<= 1
+ d_shift += 1
+ else:
+ if d & msb:
+ r <<= 1
+ q <<= 1
+ r_shift += 1
+ else:
+ r <<= 1
+ r_shift += 1
+ d <<= 1
+ d_shift += 1
+ r >>= r_shift
+ return q, r