a) \( 899 \div 31 \)
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The Deep Dive
To solve \( 899 \div 31 \), you start by estimating how many times 31 can fit into 899. Since 31 is close to 30, you can think of it as \( 900 \div 30 = 30 \). This gives you a rough idea. Doing the actual division, 31 goes into 89 two times (since \( 31 \times 3 = 93 \) is too much). So \( 899 - 62 = 27 \), and bringing down the last digit gives 270. Lastly, 31 fits into 270 eight times, giving \( 31 \times 8 = 248 \). The final answer is \( 29 \) with a remainder of \( 1 \), or you can write it as approximately \( 29.02 \). So the final result is \( 29 \) with a remainder of \( 1 \) or \( 29.03226 \) as a decimal!