What is an example of a long division?

Long division is a mathematical method used to divide large numbers into smaller parts. It is commonly used when dividing numbers that cannot be easily divided mentally or using other methods.

For example, let's divide 1325 by 5 using long division.

In the division process, the dividend, which is 1325 in this case, is divided by the divisor, which is 5. The quotient is the result of the division, and the remainder is any leftover value after dividing.

To begin the long division, we start by dividing the first digit of the dividend (1) by the divisor (5). As 1 is smaller than 5, we move to the next digit, which is 13.

We then divide 13 by 5. The closest multiple of 5 that is smaller or equal to 13 is 10. We write down the result (2) as the first digit of the quotient, and subtract the product (10) from 13, leaving us with 3.

Next, we bring down the next digit, which is 2, to the remaining 3. We now have 32.

We repeat the process by dividing 32 by 5. The closest multiple of 5 that is smaller or equal to 32 is 30. We write down the result (6) as the next digit of the quotient, and subtract the product (30) from 32, leaving us with 2.

Finally, we bring down the last digit, which is 5, to the remaining 2. We now have 25.

We repeat the process one final time by dividing 25 by 5. The result is 5, and subtracting the product (25) from 25 gives us a remainder of 0.

Therefore, the quotient is 265 and there is no remainder. The long division of 1325 divided by 5 gives us the result of 265.

Long division is a valuable method for dividing larger numbers, providing a systematic approach to obtain accurate results.

What are some examples of long division?

Long division is a mathematical method used to divide large numbers into smaller ones. It involves several steps, including dividing, multiplying, subtracting, and bringing down the next digit. Here are a few examples of long division:

Example 1: Let's divide 784 by 8.

Start by dividing the leftmost digit (7) by the divisor (8). Since 8 is larger than 7, we bring down the next digit (8) to make it 78. Now, divide 78 by 8, which equals 9 with a remainder of 6. We bring down the next digit (4), making it 64. Dividing 64 by 8 gives us 8 with no remainder. So, the quotient is 98 and there is no remainder.

Example 2: Now, let's divide 3251 by 7.

Dividing the leftmost digit (3) by 7 gives us 0. Since 7 is greater than 3, we bring down the next digit (2) to make it 32. Dividing 32 by 7 gives us 4 with a remainder of 4. We bring down the next digit (5) and now have 45. Dividing 45 by 7 gives us 6 with a remainder of 3. Finally, we bring down the last digit (1) and divide it by 7, which gives us 0 with a remainder of 1. So, the quotient is 464 and the remainder is 1.

Example 3: Let's divide 1369 by 17.

Starting with the leftmost digit (1), we divide it by 17, resulting in 0. We bring down the next digit (3) to make it 31, which when divided by 17 gives us 1 with a remainder of 14. We continue by bringing down the next digit (6), making it 146. Dividing 146 by 17 gives us 8 with a remainder of 2. Finally, we bring down the last digit (9) and divide it by 17, resulting in 0 with a remainder of 9. So, the quotient is 108 and the remainder is 9.

These are just a few examples of long division. It is a useful method for dividing larger numbers and can be applied in various mathematical and real-life situations.

How to do long division step by step?

Long division is a mathematical process used to divide large numbers. By following a few simple steps, you can easily perform long division. Here is a step-by-step guide:

Step 1: Write the dividend (the number that is being divided) on the top and the divisor (the number that is dividing the dividend) on the outside, just like you would with any division problem.

For example, let's say we want to divide 378 by 14.

Step 2: Divide the first digit of the dividend by the divisor. In this case, divide 3 by 14. Write the quotient on top of a new line.

In our example, the quotient would be 0 since 3 is smaller than 14.

Step 3: Multiply the quotient from step 2 by the divisor, and write the product below the dividend.

In our example, 0 multiplied by 14 is equal to 0.

Step 4: Subtract the product from step 3 from the first set of digits in the dividend. Write the result below the line.

In our example, 378 minus 0 gives us 378.

Step 5: Bring down the next digit of the dividend and write it next to the result from step 4 to form a new number.

In our example, we bring down the 8 from 378 to create 3788.

Step 6: Repeat steps 2 to 5 until you have brought down all the digits of the dividend.

In our example, we repeat steps 2 to 5 with the new number 3788.

Step 7: Keep repeating steps 2 to 5 until the number you bring down is smaller than the divisor.

In our example, after repeating steps 2 to 5, we get a new number 28 which is smaller than the divisor 14.

Step 8: Write the final answer as a whole number quotient with the remainder as a fraction in the form of numerator/denominator.

In our example, the final answer would be 27 with a remainder of 28/14.

By following these steps, you can easily perform long division and find the quotient and remainder. Practice this process with different numbers to improve your skills!

What is 24356 5 using long division?

What is 24356 5 using long division?

Long division is a method used to divide large numbers into smaller parts. In this case, we are going to divide the number 24356 by 5 using long division.

To start the process, we write down the number 24356 as the dividend and 5 as the divisor. We then determine how many times the divisor can be divided into the first digit of the dividend, which is 2. Since 5 cannot be divided into 2, we move on to the next digit, which is 24.

We then try to divide 5 into 24. We find that 5 can be divided into 24 four times, resulting in a quotient of 4. We multiply 4 by 5 to get 20, and subtract 20 from 24, which gives us a remainder of 4.

Next, we bring down the next digit of the dividend, which is 3, and combine it with the remainder to get 43. We then repeat the process by dividing 5 into 43. We find that 5 can be divided into 43 eight times, resulting in a new quotient of 48.

We multiply 8 by 5 to get 40, and subtract 40 from 43, which gives us a remainder of 3.

We then bring down the next digit, which is 5, and combine it with the remainder to get 35. We repeat the process of dividing 5 into 35 and find that 5 can be divided into 35 seven times, resulting in a new quotient of 487.

Finally, we multiply 7 by 5 to get 35, and subtract 35 from 35, which gives us a remainder of 0. With a remainder of 0, we conclude that 24356 divided by 5 is equal to 487.

In summary, using long division, we found that 24356 divided by 5 is equal to 487, with a remainder of 0. Long division is a useful method for dividing large numbers and finding their quotients and remainders.

What is an example of division?

Division is a mathematical operation that involves dividing a given quantity into equal parts. It is the inverse operation of multiplication and is often represented by the symbol "/". One example of division is dividing a pizza among a group of friends.

In this scenario, if there are 8 slices of pizza and 4 friends, you can use division to determine how many slices each friend will get. By dividing 8 by 4, you find that each friend will receive 2 slices of pizza.

Another example of division can be seen in a grocery shopping context. Suppose you have 12 apples and want to divide them equally into 3 baskets. Using division, you can find out how many apples will go into each basket by dividing 12 by 3. In this case, each basket will contain 4 apples.

Division is also commonly used in everyday situations such as splitting expenses among a group of people. If a dinner bill amounts to $100 and is split equally among 5 people, you can use division to determine how much each person needs to contribute. By dividing $100 by 5, you find that each person will need to contribute $20.

In conclusion, division is a fundamental mathematical operation that is used in various real-life scenarios. Whether it's dividing pizza slices, distributing apples, or splitting expenses, division allows us to divide a given quantity into equal parts and make fair allocations.