Final answer:
To find the partial quotient of 246÷3 using the box method, divide 246 by 3 in parts: first by 80 to give 240, then subtract this from 246 to get 6, and divide 6 by 3 to get 2, adding the quotients together to find that 246÷3 equals 82.
Step-by-step explanation:
To use the box method to find the partial quotient of 246÷3, we can follow these steps:
Divide 246 by the largest power of 3 that will give you a whole number quotient. In this case, since 3×100 = 300 is too large, we use 3×80 = 240 which is just under 246.
Subtract the result of step 1 from the original number: 246-240 = 6.
Divide the remainder by 3: 6÷3 = 2.
Add the quotient from step 1 to the quotient from step 3: 80+2 = 82.
Therefore, the partial quotient of 246÷3 is 82.