How to divide 75 by 41: Steps and answer

Dividing numbers can sometimes be a challenging task, especially when dealing with larger numbers. In this article, we will explore the steps to divide 75 by 41 and provide you with the answer. Whether you are a student learning the division process or simply need to solve this particular division problem, we will break it down for you step by step. So, let’s get started on how to divide 75 by 41!

Steps to divide 75 by 41

Dividing 75 by 41 may seem like a complex task, but with the right approach, it can be simplified. Let’s go through the step-by-step process to divide 75 by 41:

Step 1: Set up the division problem

To begin, write down the dividend (75) inside the division symbol and the divisor (41) outside the division symbol. It should look like this:

75 ÷ 41

Step 2: Start with the first digit of the dividend

Look at the first digit of the dividend (7 in this case). Since 7 is smaller than 41, we need to consider the next digit as well to form a two-digit number. So, let’s bring down the next digit (5) into the division process. Now we have 75.

75 ÷ 41

Step 3: Divide the first two digits

Now, focus on the two-digit number formed by the first two digits of the dividend (75 in this case). Ask yourself, how many times does 41 go into 75? Since 41 is smaller than 75, it goes in once. Write the quotient above the division symbol, just above the 5 in 75. It should look like this:

75 ÷ 41

1

Now, multiply the quotient (1) by the divisor (41) to get the product: 1 × 41 = 41. Write this product below the 75, and then subtract it from 75:

75 ÷ 41

1

-41

Now, subtract 41 from 75, which leaves us with 34:

75 ÷ 41

1

-41

34

Step 4: Bring down the next digit

Since we have not reached the end of the dividend, we need to bring down the next digit (0) into the division process. Now we have 340.

75 ÷ 41

1

-41

34

340

Step 5: Divide the new three-digit number

Now, we need to focus on the three-digit number formed by the first two digits of the result (340 in this case) and the next digit of the dividend. Again, ask yourself, how many times does 41 go into 340? Since it goes in 8 times, write the quotient (8) above the division symbol, just above the zero in 340. It should look like this:

75 ÷ 41

1

-41

34

340

8

Step 6: Multiply and subtract

Multiply the quotient (8) by the divisor (41) to get the product: 8 × 41 = 328. Write this product below the 340, and then subtract it from 340:

75 ÷ 41

1

-41

34

340

8

-328

Subtract 328 from 340, which leaves us with 12:

75 ÷ 41

1

-41

34

340

8

-328

12

Step 7: Finalize the division

Now that we have reached the end of the dividend, the division process is complete. The quotient is the number obtained from both the previous quotients (1 and 8) and it is written above the division symbol. In this case, the final quotient is 18.

To summarize:

75 ÷ 41 = 18

Calculating the quotient

Now that we have gone through the steps to divide 75 by 41, we can see that the quotient is 18. The quotient represents how many times the divisor (41) goes into the dividend (75) evenly.

75 ÷ 41 = 18

This means that if you divide 75 by 41, you will get 18 as the answer.

Understanding the division process

Division is an arithmetic operation that involves splitting a number into equal parts or groups. It is the inverse operation of multiplication. When dividing a number, we need to determine how many times the divisor can be subtracted from the dividend without resulting in a negative number.

In the case of dividing 75 by 41, we followed the steps mentioned earlier to determine the quotient of 18. This means that 41 can be subtracted from 75 eighteen times without resulting in a negative number. The remainder in this case is 12, which represents the amount left over after performing the division.

Understanding the division process is crucial in various fields such as mathematics, physics, engineering, and finance. It allows us to solve problems that involve sharing, distribution, and finding equal parts.

Conclusion: Answer to 75 divided by 41

After following the steps to divide 75 by 41, we calculated the quotient which is 18. Therefore, the answer to 75 divided by 41 is 18. Division is a useful operation that allows us to distribute or share quantities equally. By understanding the division process, we can solve various mathematical and real-world problems. Whether you are a student learning division or someone in need of solving a particular division problem, the steps provided in this article can guide you to find the answer. Remember, practice makes perfect, so keep practicing and honing your division skills!

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