Question
The owner of Animal Lovers Pet Shop just got a delivery of 315 bags of cat food and you need to put the bags on 9 shelves. How many bags will be put on each shelf? Explain the long division steps you used to find your answer.
Answers
GPT-4o mini
To find out how many bags of cat food will go on each shelf, we need to divide the total number of bags, which is 315, by the number of shelves, which is 9. We can use long division to perform this operation:
### Step 1: Set up the long division
We are dividing 315 by 9. We write it like this:
```
_________
9 | 315
```
### Step 2: Determine how many times 9 fits into the leading digit
Start with the first digit of 315, which is 3. Since 3 is less than 9, we look at the first two digits, which are 31.
**How many times does 9 fit into 31?**
9 fits into 31 three times (3 × 9 = 27).
### Step 3: Subtract and bring down the next digit
We write 3 above the division line, then multiply:
```
3
_________
9 | 315
- 27 (3 * 9 = 27)
------
4 (31 - 27 = 4)
```
Now, we bring down the next digit, which is 5, making it 45.
### Step 4: Determine how many times 9 fits into 45
Now we need to see how many times 9 fits into 45.
**How many times does 9 fit into 45?**
9 fits into 45 exactly five times (5 × 9 = 45).
### Step 5: Subtract again
We write 5 above the division line next to the 3, then multiply:
```
35
_________
9 | 315
- 27
------
45
- 45 (5 * 9 = 45)
------
0
```
### Step 6: Conclusion
After subtracting 45 from 45, we have 0. This means there's no remainder.
Thus, 315 bags of cat food divided by 9 shelves will result in **35 bags of cat food per shelf.** Therefore, each shelf will hold 35 bags of cat food.
### Step 1: Set up the long division
We are dividing 315 by 9. We write it like this:
```
_________
9 | 315
```
### Step 2: Determine how many times 9 fits into the leading digit
Start with the first digit of 315, which is 3. Since 3 is less than 9, we look at the first two digits, which are 31.
**How many times does 9 fit into 31?**
9 fits into 31 three times (3 × 9 = 27).
### Step 3: Subtract and bring down the next digit
We write 3 above the division line, then multiply:
```
3
_________
9 | 315
- 27 (3 * 9 = 27)
------
4 (31 - 27 = 4)
```
Now, we bring down the next digit, which is 5, making it 45.
### Step 4: Determine how many times 9 fits into 45
Now we need to see how many times 9 fits into 45.
**How many times does 9 fit into 45?**
9 fits into 45 exactly five times (5 × 9 = 45).
### Step 5: Subtract again
We write 5 above the division line next to the 3, then multiply:
```
35
_________
9 | 315
- 27
------
45
- 45 (5 * 9 = 45)
------
0
```
### Step 6: Conclusion
After subtracting 45 from 45, we have 0. This means there's no remainder.
Thus, 315 bags of cat food divided by 9 shelves will result in **35 bags of cat food per shelf.** Therefore, each shelf will hold 35 bags of cat food.