Division Problems: Step-by-Step Solutions

by SLV Team 42 views

Hey guys! Let's dive into some division problems and break them down step by step. We'll tackle each one, making sure you understand the process. So, grab your pencils and let's get started!

Solving Division Problems

Let's get started with understanding how to approach and solve division problems. When it comes to division, it's all about breaking a larger number into smaller, equal groups. Think of it like sharing a bunch of candies among your friends. You want to make sure everyone gets the same amount, right? That's exactly what division helps us do. We'll go through each problem, making it super clear how to find the answers.

a) 51 ÷ 3 = ?

Alright, let's kick things off with our first problem: 51 ÷ 3. What this question is asking is, "How many times does 3 fit into 51?" To figure this out, we can use a method called long division or break it down into smaller parts. Let's try breaking it down.

First, think about how many times 3 goes into 5. It goes in once, right? So, we write a '1' above the 5 in 51. Then, we multiply 1 by 3, which gives us 3. We subtract this 3 from the 5, leaving us with 2. Now, we bring down the 1 from 51, placing it next to the 2, which gives us 21. So now, we need to figure out how many times 3 goes into 21. If you know your times tables, you'll know that 3 times 7 is 21! So, we write a '7' next to the '1' we already wrote above (making it 17), and voilà, we have our answer!

So, 51 ÷ 3 = 17. See? Not so scary when we break it down. Remember, the key is to take it step by step and not rush through it.

b) 84 ÷ 4 = ?

Next up, we've got 84 ÷ 4. This one is asking, "How many times can we fit the number 4 into 84?" We'll use the same approach as before, breaking it down to make it easier to handle. Let's dive in!

First, let’s look at the first digit of 84, which is 8. How many times does 4 go into 8? Well, 4 times 2 is 8, so it goes in exactly 2 times. We write '2' above the 8 in 84. Now, multiply 2 by 4, which gives us 8. Subtract this 8 from the first 8, and we get 0. No remainder there! Next, we bring down the 4 from 84, placing it next to the 0, so we now have 4. How many times does 4 go into 4? Exactly once! So, we write '1' next to the '2' we already wrote above, giving us 21.

So, 84 ÷ 4 = 21. See how breaking it down digit by digit makes the problem much simpler? It's like tackling a big puzzle piece by piece.

c) 65 ÷ 5 = ?

Now, let's tackle 65 ÷ 5. This problem asks, "How many groups of 5 can we make from 65?" Or, put another way, "How many times does 5 fit into 65?" Let's break it down like we did before.

First, we look at the first digit of 65, which is 6. How many times does 5 go into 6? It goes in once, with a little bit left over. So, we write '1' above the 6 in 65. Then, we multiply 1 by 5, which gives us 5. We subtract this 5 from the 6, leaving us with 1. Now, we bring down the 5 from 65, placing it next to the 1, which gives us 15. So, we need to figure out how many times 5 goes into 15. If you know your 5 times table, you’ll know that 5 times 3 is 15! So, we write a '3' next to the '1' we already wrote above (making it 13), and we’ve got our answer.

Thus, 65 ÷ 5 = 13. Breaking it down makes even the trickier-looking problems manageable.

d) 96 ÷ 6 = ?

Alright, let's move on to 96 ÷ 6. This problem is asking us, "If we have 96 items and we want to divide them into 6 equal groups, how many items will be in each group?" Let’s work through it together!

We start by looking at the first digit of 96, which is 9. How many times does 6 fit into 9? It fits in once. So, we write a '1' above the 9 in 96. Next, we multiply 1 by 6, which gives us 6. We subtract this 6 from the 9, leaving us with 3. Now, bring down the 6 from 96 and place it next to the 3, making it 36. The next question is: how many times does 6 go into 36? If you recall your multiplication facts, you know that 6 times 6 is 36. So, we write a '6' next to the '1' that’s already above the 96 (making it 16).

Therefore, 96 ÷ 6 = 16. Breaking it down step by step helps make sure we don’t miss anything.

e) 99 ÷ 9 = ?

Let's tackle 99 ÷ 9. This one’s asking, "How many times does 9 fit into 99?" Think about it like sharing 99 candies equally among 9 friends. How many candies would each friend get? Let's find out!

We'll start by looking at the first digit of 99, which is 9. How many times does 9 go into 9? It goes in once, perfectly! So, we write '1' above the first 9 in 99. Then, we multiply 1 by 9, which gives us 9. Subtract this 9 from the first 9, and we're left with 0. Next, bring down the second 9 from 99, placing it next to the 0, which gives us 9 again. Now, how many times does 9 go into 9? Again, it's once! So, we write another '1' next to the '1' we already wrote above (making it 11).

So, 99 ÷ 9 = 11. When you know your times tables, these can become quite straightforward!

f) 90 ÷ 6 = ?

Moving along, let's solve 90 ÷ 6. This problem asks, "If you have 90 items and you divide them into 6 equal groups, how many items are in each group?" Let's work it out step by step.

We start by looking at the first digit of 90, which is 9. How many times does 6 go into 9? It goes in once, with some left over. So, we write '1' above the 9 in 90. Next, we multiply 1 by 6, which gives us 6. Subtract this 6 from the 9, and we're left with 3. Now, bring down the 0 from 90 and place it next to the 3, making it 30. Now we need to figure out how many times 6 goes into 30. If you're familiar with your multiplication facts, you'll know that 6 times 5 is 30! So, we write a '5' next to the '1' we already wrote above (making it 15).

Thus, 90 ÷ 6 = 15. It's all about breaking down the problem into manageable chunks.

g) 96 ÷ 8 = ?

Let’s take on 96 ÷ 8. This problem is asking, "How many times can 8 fit into 96?" Or, you can think of it as, "If you have 96 cookies and want to share them equally among 8 friends, how many cookies does each friend get?" Let’s get to it.

We start by looking at the first digit of 96, which is 9. How many times does 8 go into 9? It goes in once, with a little bit left over. So, we write a '1' above the 9 in 96. Then, we multiply 1 by 8, which gives us 8. Subtract this 8 from the 9, and we're left with 1. Next, we bring down the 6 from 96, placing it next to the 1, which gives us 16. So, we need to figure out how many times 8 goes into 16. If you know your times tables, you’ll know that 8 times 2 is 16! So, we write a '2' next to the '1' we already wrote above (making it 12).

So, 96 ÷ 8 = 12. Keep practicing, and these will become second nature!

h) 91 ÷ 7 = ?

Last but not least, let's tackle 91 ÷ 7. This problem is asking, "How many times does 7 fit into 91?" Or, another way to think about it is, "If you have 91 apples and want to put them into 7 equal baskets, how many apples go into each basket?" Let's solve it together.

We start by looking at the first digit of 91, which is 9. How many times does 7 go into 9? It goes in once, with some remainder. So, we write a '1' above the 9 in 91. Then, we multiply 1 by 7, which gives us 7. Subtract this 7 from the 9, leaving us with 2. Now, we bring down the 1 from 91, placing it next to the 2, which makes it 21. So, we need to figure out how many times 7 goes into 21. If you know your multiplication facts, you’ll know that 7 times 3 is 21! So, we write a '3' next to the '1' we already wrote above (making it 13).

So, 91 ÷ 7 = 13. You've nailed it! Division can seem tricky at first, but with practice, it becomes much easier.

Conclusion

And there you have it, guys! We've walked through each division problem step by step. Remember, the key to mastering division (and any math problem, really) is to break it down, take your time, and practice, practice, practice. Don't get discouraged if it doesn't click right away. Keep at it, and you'll be a division pro in no time! Keep up the great work, and happy calculating!