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To solve the problem of dividing 306 by 2 using long division, we will follow these steps:
Let's proceed with these steps:
Step 1: Start with the hundreds place. Divide 3 (from 306) by 2. The quotient is 1, and we write it atop. Multiply 1 by 2, which gives 2, and subtract it from 3, leaving a remainder of 1. Bring down the next digit (0).
Step 2: Divide 10 by 2. The quotient is 5. Write 5 atop the division bar. Multiply 5 by 2, resulting in 10. Subtract 10 from 10, leaving no remainder. Bring down the next digit (6).
Step 3: Divide 6 by 2. The quotient is 3. Write 3 directly next to the previous quotient digits (1 and 5) on top. Multiply 3 by 2, which gives 6. Subtract this from 6, which yields 0, showing no remainder.
Thus, by performing long division, we find that:
The solution to the division is .
If 3 is smaller than your divisor, you'd combine it with the next digit. But here, 3÷2=1 works perfectly, so we can start dividing right away!
Bringing down digits one at a time keeps the division organized and prevents mistakes. It's like solving the problem in manageable chunks instead of trying to do everything at once.
Place each quotient digit directly above the dividend digit you're currently dividing. The 1 goes above the 3, the 5 above the 0, and the 3 above the 6.
In this problem, exactly with no remainder! If there was a remainder, you could continue with decimal places or express it as a fraction.
Yes! You can also add: . Since division and multiplication are opposite operations, both methods verify your answer.
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