how to do steps in a division problem of 616 divided by 2
The correct answer and explanation is:
Division Problem: 616 ÷ 2
Correct Answer: 308
Step-by-Step Division
To divide 616 by 2 using long division, follow these steps:
- Set it up:
Write 616 inside the division bracket (the dividend) and 2 outside (the divisor). - Divide the first digit:
- 2 goes into 6 three times (2 × 3 = 6).
- Write 3 above the 6.
- Subtract 6 from 6, which is 0.
- Bring down the next digit:
- Bring down 1 (the next digit in 616).
- 2 goes into 1 zero times. Write 0 above the 1.
- Subtract 0 from 1, which is 1.
- Bring down the last digit:
- Bring down the 6 next to the 1, making 16.
- 2 goes into 16 eight times (2 × 8 = 16).
- Write 8 above the 6.
- Subtract 16 from 16, which is 0.
So, the final answer is 308.
Explanation (Approx. 300 Words)
Division is a mathematical operation that splits a number into equal parts. In the problem 616 ÷ 2, we are trying to determine how many times 2 fits into 616. This is also called repeated subtraction or finding the quotient.
The long division method breaks this down digit by digit, starting from the left. First, we look at how many times 2 fits into the first digit, which is 6. Since 2 × 3 = 6, we write 3 above the division bar and subtract 6 from 6, leaving 0. Next, we bring down the next digit, 1. Since 2 cannot go into 1, we write a 0 above and move to the next digit. Bringing down the 6 makes 16, and since 2 × 8 = 16, we write 8 and subtract, leaving no remainder.
So, 616 divided by 2 equals 308.
This process helps build understanding of place value, estimation, and subtraction. Each digit is divided in sequence, and when a digit is too small to be divided by the divisor, we use a 0 in the quotient to maintain correct place value.
Division is used in everyday life—for example, dividing a bill between two people or splitting items evenly. Understanding the steps of division helps in solving larger or more complex math problems and improves number sense.