package main

import (
	"bufio"
	"fmt"
	"os"
)

func main() {
	reader := bufio.NewReader(os.Stdin)
	writer := bufio.NewWriter(os.Stdout)
	defer writer.Flush()

	var t int
	if _, err := fmt.Fscan(reader, &t); err != nil {
		return
	}

	for tc := 0; tc < t; tc++ {
		var n, k int
		var s string
		fmt.Fscan(reader, &n, &k, &s)

		ans := 0
		last := -k

		for i := 1; i <= n; i++ {
			if s[i-1] == '1' {
				gap := i - last - 1 - k
				if gap > 0 {
					ans += gap / (k + 1)
				}
				last = i
			}
		}

		gap := n - last
		if gap > 0 {
			ans += gap / (k + 1)
		}

		fmt.Fprintln(writer, ans)
	}
}