Long Division: Solving 306 ÷ 2 Step by Step

To solve the problem of dividing 306 by 2 using long division, we will follow these steps:

• Step 1: Set up the expression as $306 \div 2$.
• Step 2: Begin the division with the hundreds digit.
• Step 3: Move to the tens digit and then finally to the units digit.

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 $306 \div 2$ is $\mathbf{153}$.