What is 616 divided by 28 in long division
The correct answer and explanation is:
To divide 616 by 28 using long division, follow these steps:
- Set up the division: Write 616 as the dividend (inside the division box) and 28 as the divisor (outside the division box).
- Divide the first digit: Look at the first digit of the dividend, 6. Ask how many times 28 can fit into 6. Since 28 is larger than 6, move to the next two digits of the dividend, which is 61.
- Divide 61 by 28: Ask how many times 28 fits into 61. 28 goes into 61 twice because 28 times 2 equals 56. Write 2 above the 1 of 61.
- Subtract: Subtract 56 from 61, which leaves 5. Now, bring down the next digit of the dividend, which is 6, making the number 56.
- Divide 56 by 28: Ask how many times 28 fits into 56. 28 goes into 56 exactly two times. Write 2 above the 6.
- Subtract again: Subtract 56 from 56, which leaves 0. Since there are no more digits to bring down, the division is complete.
The quotient is 22, and there is no remainder.
Explanation: The process of long division involves breaking the problem into manageable steps by dividing the dividend in parts and working through each stage of subtraction. Dividing 616 by 28 gives a quotient of 22. The steps are based on dividing smaller parts and subtracting after multiplying the divisor by the quotient. This method ensures that division can be performed even for larger numbers. The result is an exact division without any remainder.