Concept:Convert the decimals to whole numbers using powers of ten, then divide using the laws of indices.Explanation:Write 0.5445 as 5445×10−4 because there are four decimal places.Write 0.09 as 9×10−2 because there are two decimal places.Now divide: 0.090.5445=9×10−25445×10−4.First divide the numbers: 5445÷9=605.Then apply the law of indices: 10−4÷10−2=10−4−(−2)=10−2.So the quotient is 605×10−2.Since 605×10−2=605÷100, move the decimal point two places to the left: 605.0→6.05.Answer:0.5445÷0.09=6.05, so the correct option is B.