Simple String manipulation problem

[x-ecutioner]

hey guys

i can't figure out what im doing wrong

dear God i miss PHP lol

I am using visual c++ 2010.

#include <iostream>
#include <string>

using namespace std;

int main(){

	////////// practice exercise 4

	string word;
	string letter;
	int i, numtimes, wordsize;

	cout << "enter word";
	cin >> word;
	cout << "enter letter";
	cin >> letter;

	wordsize = int(word.size());

	for(i = 0; i <= wordsize; ++i){
		if(word[i] == letter){
			numtimes++;
		}
	}

	cout << numtimes;
	system("pause");
	
}

I get the following error:

>c:\users\bakhtawar\documents\visual studio 2010\projects\string manipulation\string manipulation\index.cpp(55): error C2678: binary '==' : no operator found which takes a left-hand operand of type 'char' (or there is no acceptable conversion)
1>          c:\program files\microsoft visual studio 10.0\vc\include\exception(470): could be 'bool std::operator ==(const std::_Exception_ptr &,const std::_Exception_ptr &)'
1>          c:\program files\microsoft visual studio 10.0\vc\include\exception(475): or       'bool std::operator ==(std::_Null_type,const std::_Exception_ptr &)'
1>          c:\program files\microsoft visual studio 10.0\vc\include\exception(481): or       'bool std::operator ==(const std::_Exception_ptr &,std::_Null_type)'
1>          c:\program files\microsoft visual studio 10.0\vc\include\system_error(408): or       'bool std::operator ==(const std::error_code &,const std::error_condition &)'
1>          c:\program files\microsoft visual studio 10.0\vc\include\system_error(416): or       'bool std::operator ==(const std::error_condition &,const std::error_code &)'
1>          while trying to match the argument list '(char, std::string)'
========== Build: 0 succeeded, 1 failed, 0 up-to-date, 0 skipped ==========

I thought I had to do some kind of type conversion, but the method i used did not help.

any help would be greatly appreciated, thanks

x-ecutioner