Division Problems: Step-by-Step Solutions & Examples

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Division Problems: Step-by-Step Solutions & Examples

Hey guys! Let's dive into some division problems and break them down step by step. We've got a great set of examples here that will help you understand the process. So, grab your pencils, and let's get started!

Problem Set: Mastering Division

We're going to tackle eight different division problems in this article. Each one will give you a chance to practice and improve your division skills. Remember, the key to mastering division is to understand the process and take it one step at a time. Don't worry if it seems challenging at first – with practice, you'll get there!

Here are the problems we'll be solving:

  • a) 486 ÷ 2
  • b) 789 ÷ 3
  • c) 1244 ÷ 4
  • d) 345 ÷ 5
  • e) 861 ÷ 7
  • f) 1072 ÷ 8
  • g) 1413 ÷ 9
  • h) 4242 ÷ 2

Let's jump right into the solutions! We'll go through each problem, explaining every step along the way.

Solutions: Step-by-Step Breakdown

a) 486 ÷ 2

Okay, let's start with our first problem: 486 ÷ 2. This means we're trying to figure out how many times 2 fits into 486.

  1. First, we look at the first digit, 4. How many times does 2 go into 4? It goes in 2 times. So, we write a 2 above the 4.
  2. Next, we multiply 2 (the number we just wrote) by 2 (the divisor), which gives us 4. We write this 4 under the original 4 and subtract: 4 - 4 = 0.
  3. Now, we bring down the next digit, which is 8. We have 08, which is just 8. How many times does 2 go into 8? It goes in 4 times. We write a 4 above the 8.
  4. Multiply 4 by 2, which gives us 8. Write this 8 under the 8 we brought down and subtract: 8 - 8 = 0.
  5. Bring down the last digit, which is 6. How many times does 2 go into 6? It goes in 3 times. Write a 3 above the 6.
  6. Multiply 3 by 2, which gives us 6. Write this 6 under the 6 we brought down and subtract: 6 - 6 = 0.

So, 486 ÷ 2 = 243. Great job on the first one!

b) 789 ÷ 3

Next up, we have 789 ÷ 3. Let's see how this one works:

  1. Start with the first digit, 7. How many times does 3 go into 7? It goes in 2 times (3 x 2 = 6). Write a 2 above the 7.
  2. Multiply 2 by 3, which gives us 6. Write 6 under the 7 and subtract: 7 - 6 = 1.
  3. Bring down the next digit, 8. We now have 18. How many times does 3 go into 18? It goes in 6 times. Write a 6 above the 8.
  4. Multiply 6 by 3, which gives us 18. Write 18 under the 18 and subtract: 18 - 18 = 0.
  5. Bring down the last digit, 9. How many times does 3 go into 9? It goes in 3 times. Write a 3 above the 9.
  6. Multiply 3 by 3, which gives us 9. Write 9 under the 9 and subtract: 9 - 9 = 0.

Therefore, 789 ÷ 3 = 263. You're getting the hang of it!

c) 1244 ÷ 4

Now, let's tackle 1244 ÷ 4. This one looks a little bigger, but we'll follow the same steps:

  1. Look at the first digit, 1. Does 4 go into 1? No, it doesn't. So, we consider the first two digits, 12. How many times does 4 go into 12? It goes in 3 times. Write a 3 above the 2 in 12.
  2. Multiply 3 by 4, which gives us 12. Write 12 under the 12 and subtract: 12 - 12 = 0.
  3. Bring down the next digit, 4. How many times does 4 go into 4? It goes in 1 time. Write a 1 above the 4.
  4. Multiply 1 by 4, which gives us 4. Write 4 under the 4 and subtract: 4 - 4 = 0.
  5. Bring down the last digit, 4. How many times does 4 go into 4? It goes in 1 time. Write a 1 above the last 4.
  6. Multiply 1 by 4, which gives us 4. Write 4 under the 4 and subtract: 4 - 4 = 0.

So, 1244 ÷ 4 = 311. Awesome!

d) 345 ÷ 5

Let's move on to 345 ÷ 5. Keep up the great work!

  1. Look at the first digit, 3. Does 5 go into 3? No, it doesn't. So, consider the first two digits, 34. How many times does 5 go into 34? It goes in 6 times (5 x 6 = 30). Write a 6 above the 4 in 34.
  2. Multiply 6 by 5, which gives us 30. Write 30 under 34 and subtract: 34 - 30 = 4.
  3. Bring down the last digit, 5. We now have 45. How many times does 5 go into 45? It goes in 9 times. Write a 9 above the 5.
  4. Multiply 9 by 5, which gives us 45. Write 45 under the 45 and subtract: 45 - 45 = 0.

Thus, 345 ÷ 5 = 69. Fantastic!

e) 861 ÷ 7

We're halfway there! Let's solve 861 ÷ 7:

  1. Look at the first digit, 8. How many times does 7 go into 8? It goes in 1 time. Write a 1 above the 8.
  2. Multiply 1 by 7, which gives us 7. Write 7 under the 8 and subtract: 8 - 7 = 1.
  3. Bring down the next digit, 6. We now have 16. How many times does 7 go into 16? It goes in 2 times (7 x 2 = 14). Write a 2 above the 6.
  4. Multiply 2 by 7, which gives us 14. Write 14 under the 16 and subtract: 16 - 14 = 2.
  5. Bring down the last digit, 1. We now have 21. How many times does 7 go into 21? It goes in 3 times. Write a 3 above the 1.
  6. Multiply 3 by 7, which gives us 21. Write 21 under the 21 and subtract: 21 - 21 = 0.

So, 861 ÷ 7 = 123. Keep going!

f) 1072 ÷ 8

Let's tackle 1072 ÷ 8. This one has four digits, but we'll follow the same steps:

  1. Look at the first digit, 1. Does 8 go into 1? No, it doesn't. So, consider the first two digits, 10. How many times does 8 go into 10? It goes in 1 time. Write a 1 above the 0 in 10.
  2. Multiply 1 by 8, which gives us 8. Write 8 under the 10 and subtract: 10 - 8 = 2.
  3. Bring down the next digit, 7. We now have 27. How many times does 8 go into 27? It goes in 3 times (8 x 3 = 24). Write a 3 above the 7.
  4. Multiply 3 by 8, which gives us 24. Write 24 under the 27 and subtract: 27 - 24 = 3.
  5. Bring down the last digit, 2. We now have 32. How many times does 8 go into 32? It goes in 4 times. Write a 4 above the 2.
  6. Multiply 4 by 8, which gives us 32. Write 32 under the 32 and subtract: 32 - 32 = 0.

Therefore, 1072 ÷ 8 = 134. You're doing great!

g) 1413 ÷ 9

Time for 1413 ÷ 9. Let's break it down:

  1. Look at the first digit, 1. Does 9 go into 1? No, it doesn't. So, consider the first two digits, 14. How many times does 9 go into 14? It goes in 1 time. Write a 1 above the 4 in 14.
  2. Multiply 1 by 9, which gives us 9. Write 9 under the 14 and subtract: 14 - 9 = 5.
  3. Bring down the next digit, 1. We now have 51. How many times does 9 go into 51? It goes in 5 times (9 x 5 = 45). Write a 5 above the 1.
  4. Multiply 5 by 9, which gives us 45. Write 45 under the 51 and subtract: 51 - 45 = 6.
  5. Bring down the last digit, 3. We now have 63. How many times does 9 go into 63? It goes in 7 times. Write a 7 above the 3.
  6. Multiply 7 by 9, which gives us 63. Write 63 under the 63 and subtract: 63 - 63 = 0.

So, 1413 ÷ 9 = 157. Almost there!

h) 4242 ÷ 2

Last but not least, we have 4242 ÷ 2. Let's finish strong!

  1. Look at the first digit, 4. How many times does 2 go into 4? It goes in 2 times. Write a 2 above the 4.
  2. Multiply 2 by 2, which gives us 4. Write 4 under the 4 and subtract: 4 - 4 = 0.
  3. Bring down the next digit, 2. How many times does 2 go into 2? It goes in 1 time. Write a 1 above the 2.
  4. Multiply 1 by 2, which gives us 2. Write 2 under the 2 and subtract: 2 - 2 = 0.
  5. Bring down the next digit, 4. How many times does 2 go into 4? It goes in 2 times. Write a 2 above the 4.
  6. Multiply 2 by 2, which gives us 4. Write 4 under the 4 and subtract: 4 - 4 = 0.
  7. Bring down the last digit, 2. How many times does 2 go into 2? It goes in 1 time. Write a 1 above the 2.
  8. Multiply 1 by 2, which gives us 2. Write 2 under the 2 and subtract: 2 - 2 = 0.

Thus, 4242 ÷ 2 = 2121. You nailed it!

Conclusion: You're a Division Pro!

Wow, guys, we made it through all eight division problems! I hope this step-by-step breakdown has helped you understand the process a little better. Remember, practice makes perfect, so keep working on those division skills. You've got this!

If you have any questions or want to try more problems, feel free to ask. Keep up the fantastic work, and I'll see you in the next article! 🚀