dp of size m + 1 with all elements set to 0, where m is the length of the string s. Set dp[0] to 1.start from 0 to m - 1.
a. If s[start] is '0', skip to the next iteration since we cannot have leading zeros.
b. Otherwise, initialize a variable num to 0 to store the current number.
c. Iterate over each ending index end from start to m - 1.
i. Update num by appending the digit s[end].
ii. If num is greater than k, break the loop as we cannot have numbers larger than k.
iii. Add dp[start] to dp[end + 1].dp[m] modulo 10^9 + 7.