When you do 288 divided by 30 long division what’s the remainder
The Correct Answer and Explanation is :
To find the remainder when dividing 288 by 30 using long division, let’s go through the steps carefully:
- Set up the long division: Write 288 (the dividend) under the long division bracket and 30 (the divisor) outside.
- Divide the first part of the number: 30 goes into 288 a certain number of times. Start by looking at how many times 30 can fit into 28, but since it’s smaller than 30, you’ll consider the first three digits, 288.
- Calculate the closest multiple: 30 can go into 288 a total of 9 times (30 * 9 = 270). If you try 10 times, it would be too much, as 30 * 10 = 300.
- Subtract: Now, subtract 270 from 288:
[
288 – 270 = 18
]
So, 288 divided by 30 equals 9 with a remainder of 18.
Explanation of Long Division Steps
Long division is a method of dividing that helps you see exactly how many times the divisor (30) fits into the dividend (288), without going over. Here, you begin by figuring out how many times 30 can go into the whole number 288, then determine the largest multiple of 30 that fits within 288 without exceeding it. Multiplying 30 by 9 yields 270, which is as close as you can get to 288 without surpassing it. The remainder is then what’s left after subtracting this product from the dividend, giving you 18 in this case.
So, 288 divided by 30 equals 9 with a remainder of 18. In this type of division problem, the remainder tells us that after dividing as evenly as possible, there’s still 18 left that couldn’t be divided by 30 without going into fractions.