Mastering Long Division: Step-by-Step Guide on How To Do Long Division With 2 Digits

By | August 19, 2024

“Master Long Division with 2 Digits: Step-by-Step Guide for Easy Calculation” .

Learning how to do long division with 2 digits may seem daunting at first, but with a little practice and some helpful tips, you’ll be dividing like a pro in no time! Long division is a method of dividing one number by another number that has multiple digits. It’s a fundamental math skill that is essential for solving a wide range of problems.

To begin, let’s walk through the steps of long division with 2 digits using an example. Let’s say we want to divide 64 by 3. The first step is to write the dividend (in this case, 64) inside the division symbol, and the divisor (in this case, 3) outside the division symbol. Next, we start by dividing the first digit of the dividend (6) by the divisor (3). Since 6 divided by 3 equals 2, we write the 2 above the division symbol as the first digit of our quotient.

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Now, we multiply the divisor (3) by the first digit of our quotient (2) to get 6. We then subtract 6 from 6 (the first two digits of the dividend) to get 0. Next, we bring down the next digit of the dividend (4) to create a new number, 4. We then repeat the process by dividing 4 by 3, which equals 1. We write 1 as the second digit of our quotient.

After that, we multiply the divisor (3) by the second digit of our quotient (1) to get 3. We subtract 3 from 4 to get 1. Since we have no more digits to bring down, our final answer is 21. Therefore, 64 divided by 3 equals 21.

It’s important to remember that practice makes perfect when it comes to long division with 2 digits. The more you practice, the more comfortable you will become with the process. Don’t get discouraged if you make mistakes along the way – it’s all part of the learning process.

One helpful tip is to double-check your work as you go along. Make sure to multiply the divisor by each digit of your quotient and subtract the result from the corresponding digits of the dividend. This will help you catch any errors early on and ensure you are on the right track.

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Another tip is to keep your work organized by writing each step clearly and neatly. This will help you stay focused and avoid making careless mistakes. Remember, long division is all about taking it one step at a time and breaking down the problem into manageable chunks.

In conclusion, learning how to do long division with 2 digits is a valuable skill that will serve you well in many math problems. By following the steps outlined above and practicing regularly, you’ll be dividing with ease in no time. So grab your pencil and paper, and start practicing – you’ll be a long division master before you know it!

Title: A Step-by-Step Guide on How To Do Long Division With 2 Digits

What is Long Division?

Long division is a method used to divide large numbers into smaller parts. It is a foundational math skill that is essential for solving complex mathematical problems. In long division, the dividend (the number being divided) is divided by the divisor (the number that divides the dividend) to get the quotient (the result of the division) and the remainder (if any).

What are the Steps to Do Long Division With 2 Digits?

When dividing a number with two digits, the process can seem daunting at first. However, with practice and understanding of the steps involved, long division with two digits can become second nature. Here is a step-by-step guide on how to do long division with 2 digits:

Step 1: Set Up the Division

To start the long division process, write the dividend inside the division bracket. Place the divisor outside the bracket to the left. For example, if you are dividing 72 by 4, you would write it as:

“`
18
4 ) 72
“`

Step 2: Divide the First Digit of the Dividend by the Divisor

Start by dividing the first digit of the dividend by the divisor. In our example, divide 7 by 4. Since 4 does not go into 7, you would move to the next digit to make a two-digit number. In this case, you would bring down the next digit, 2, to create 72.

Step 3: Divide the Two-Digit Number by the Divisor

Now, divide the two-digit number (72) by the divisor (4). In this case, 4 goes into 7 once, with a remainder of 3. Write the 1 above the division bracket and the remainder (3) next to the 2 in 72.

Step 4: Multiply the Quotient by the Divisor

Next, multiply the quotient (1) by the divisor (4). Write the result (4) under the 7 in 72.

Step 5: Subtract the Result from the Previous Step from the Dividend

Subtract the result from the previous step (4) from the 72. Write the result (3) below the line.

Step 6: Bring Down the Next Digit

Bring down the next digit of the dividend (2) next to the result of the subtraction in the previous step. You should now have 32.

Step 7: Repeat the Process

Repeat the process by dividing the new number (32) by the divisor (4). 4 goes into 32 eight times. Write the 8 above the division bracket and subtract 32 – 32 to get a remainder of 0.

Step 8: Check Your Answer

To check your answer, multiply the quotient (18) by the divisor (4) and add the remainder (0). The result should be the original dividend (72).

By following these step-by-step instructions, you can successfully do long division with 2 digits. Practice makes perfect, so don’t get discouraged if you don’t get it right the first time. Keep practicing, and soon you’ll be a long division pro!

Remember, if you need additional help or clarification, don’t hesitate to reach out to a math tutor or use online resources like Khan Academy or Mathway to further enhance your long division skills.

So, the next time you come across a long division problem with 2 digits, you’ll be well-equipped to tackle it with confidence and ease. Happy dividing!

   

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