Fill in the blank!

Question

Solving Real-World Problem Using Long Division
A company has $9,976 to evenly distribute among its top 15 employees. How much money will each of these employees receive, to the nearest dollar?
15 -> 20
20 x _ = 10,000
20 x 400 = _

665 r.1
_)----------
9,976
- 90
---------
97
-90
------
76
-75
------
____

The answer is $_

I can check my answer by multiplying the _ by the divisor and adding in the remainder.
32
665
x 15
------
3325
+6650
---------
_____

Answer 1

To solve the problem and fill in the blanks, let's start with the first part of the division.

You have to divide $9,976 by 15.

Long Division Step-by-Step

1. Set up the division: 15 into 9,976.

   • 15 goes into 9 a total of 0 times.
   • 15 goes into 99 a total of 6 times (because 15 × 6 = 90).
     • So, we write 6 above the 9.
   • Subtract: 99 - 90 = 9.

2. Bring down the next digit (7):

   • Now you have 97.
   • 15 goes into 97 a total of 6 times (because 15 × 6 = 90).
     • So, write another 6 above the 7.
   • Subtract: 97 - 90 = 7.

3. Bring down the next digit (6):

   • Now you have 76.
   • 15 goes into 76 a total of 5 times (because 15 × 5 = 75).
     • Write 5 above the 6.
   • Subtract: 76 - 75 = 1.

4. There are no more digits to bring down, so we have a remainder of 1.

Putting this together, we have:

  665 r1
-------------
15 | 9976
   - 90
-------------
      97
   - 90
--------------
       76
   - 75
--------------
        1

The answer to how much each employee receives is $665.

Now for the remaining parts:

1. The empty spaces filled in from the above work:

• The result of the division is $665.
• The divisor is 15.
• When checking the answer: \( 665 \times 15 = 9975 + 1 \) (the remainder).

So, the information needed to fill in the blanks is:

The answer is $665.

I can check my answer by multiplying 665 by the divisor 15 and adding in the remainder.

Final multiplication for verifying:

665
x 15
------
  3325  (this is 665 multiplied by 5)
+ 6650  (this is 665 multiplied by 10, shifted one place left)
------
  9975

Adding the remainder of 1:

9975 + 1 = 9976

So, the completed answer aligns with the original division problem.