#include <bits/stdc++.h>
using namespace std;
#define endl '\n'
const int N = 1e6 + 5;
#define int long long
typedef pair<int, int> PII;
#define MAX LONG_LONG_MAX
int ar[N];
void solve()
{
    int n, k;
    cin >> n >> k;
    string s;
    cin >> s;
    s = " " + s;
    for (int i = 1; i <= n;i ++)
        if(s[i] == '1')
            ar[i] = 1;
        else
            ar[i] = 0;
    int ans = 0;
    for (int i = 1; i <= n; i ++)
    {
        if(ar[i] == 0)
            continue;
        ans++;
        i += k - 1;
    }
    cout << ans << endl;
}
signed main()
{
    ios::sync_with_stdio(0);
    cin.tie(0), cout.tie(0);
    int tcase;
    cin >> tcase;
    while (tcase--)
        solve();
    return 0;
}