Final answer:
The question asks for the quotients and remainders of two binary division problems in modulo 2, which necessitates binary long division and understanding of modular arithmetic.
Step-by-step explanation:
The question involves finding the quotients and the remainders for division problems in modulo 2, which is a concept from mathematics, specifically modular arithmetic. In modulo 2 arithmetic, numbers are only considered with respect to their remainder when divided by 2. To solve these problems, one must perform binary division.
The first division problem is 10101112 ÷ 11012, and the second problem is 10111112 ÷ 11102. Since the given problems are binary, the division process is similar to long division in base 10. However, the subtraction in each step involves binary subtraction, and checking for divisibility is also based on powers of 2.
The results should yield a quotient and a remainder for each division, which must be presented in their binary form. Unfortunately, without performing the specific calculations, we cannot provide the actual results here.