<p><a href="https://www.prepswift.com/quizzes/quiz/prepswift-remainders-part-deux" target="_blank">Remainders Part Deux Exercise</a></p>
<p><strong>Note</strong>: about 46 seconds into the video, the video says that the remainder when x is divided by y is x, where x < y. This is not quite true when x is negative, especially as remainders cannot be negative on the GRE. </p>
<p>For example, -1 divided by 3 has remainder 2. </p><p>Whenever the <strong><span style="color:#27ae60;">Number Being Divided is Less than the Divisor</span></strong>, and both integers are positive, the remainder is simply the number being divided. For example...</p>
<p>$$5 \div 6$$</p>
<p>In this case, the remainder is $5$. This is because...</p>
<p style="text-align: center;">$0$ (quotient) $\times \ 6 + 5$ (remainder) $=5$.</p>