Long division can seem intimidating, especially when you’re faced with a 2 digit divisor. But don’t worry! It’s just like regular long division, broken down into manageable steps. We’ll walk through it together, making it less scary and more like solving a puzzle.
Imagine you have a big bag of candies to share amongst a large group of friends. Thats essentially what long division helps us do: divide a larger number into equal groups. Let’s demystify the process and make you a 2 digit divisor long division pro!
Tackling 2 Digit Divisor Long Division
Let’s start with an example: 1428 34. First, write it out in the long division format. The number you’re dividing (1428) goes inside the “house,” and the 2 digit divisor (34) goes outside. Now, focus on the first few digits inside the house.
Ask yourself: “How many times does 34 go into 14?” Well, it doesn’t! So, consider the first three digits: 142. Now, estimate. How many times does 34 go into 142? A good guess might be 4. Write the 4 above the 2 in 1428.
Next, multiply your estimate (4) by the 2 digit divisor (34): 4 x 34 = 136. Write 136 below 142 and subtract. 142 – 136 = 6. Bring down the next digit from the dividend (8) next to the 6, forming the number 68.
Now, repeat the process. How many times does 34 go into 68? It goes in exactly 2 times! Write the 2 above the 8 in 1428. Multiply 2 x 34 = 68. Subtract 68 – 68 = 0. Since you have a remainder of 0, you’re done!
Therefore, 1428 34 = 42. Remember, estimation is key! If your initial estimate is too high or too low, simply adjust it. Practice makes perfect, so try a few more problems. Use online resources or worksheets to build your confidence.
Mastering 2 digit divisor long division opens doors to more complex math concepts. It improves your problem-solving skills and builds a solid foundation for future learning. Embrace the challenge, practice consistently, and celebrate your progress. You’ve got this! Now go forth and conquer those division problems!