Final answer:
To use partial quotients for dividing 604 by 5, start with 100, as it is a clean multiplication by 5 (100 x 5 = 500) and is less than 604. Subtract this from 604 and continue with the method until you reach a remainder less than 5.
Step-by-step explanation:
To solve 604 ÷ 5 using the partial quotients method, we want to find a number that, when multiplied by 5, is close to but less than 604. This initial number is just a starting point to begin subtracting chunks from 604.
Let's consider a reasonable estimate for the first number to subtract. We could start with 100, because 100 × 5 equals 500, which is an easy multiplication fact and gets us close to 604 without exceeding it. Thus, subtracting 500 from 604 gives us 104.
After the first subtraction, we continue the partial quotients method by finding additional numbers to multiply by 5, subtracting each of those products from the remainder after the previous step until we reach 0 or a number less than 5. Through this process, we will successfully divide 604 by 5 using partial quotients.