8086 divided by 26 show your WORK :)

Answer 1

To divide 8086 by 26, we can use long division. Here’s how to show the work step-by-step:

1. Setup the Long Division:

          __________
   26 | 8086
   

2. Estimate how many times 26 goes into the first part (80):

   • 26 goes into 80 three times because \( 26 \times 3 = 78 \).
   • Write 3 above the line.

          3
         __________
   26 | 8086
        - 78
         -----
          2
   

3. Bring down the next digit (which is 8):

   • Now we are looking at 28.

4. Estimate how many times 26 goes into 28:

   • 26 goes into 28 one time because \( 26 \times 1 = 26 \).
   • Write 1 above the line.

          31
         __________
   26 | 8086
        - 78
         -----
          28
        - 26
         -----
           2
   

5. Bring down the next digit (which is 6):

   • Now we have 26.

6. Estimate how many times 26 goes into 26:

   • 26 goes into 26 one time because \( 26 \times 1 = 26 \).
   • Write 1 above the line.

          311
         __________
   26 | 8086
        - 78
         -----
          28
        - 26
         -----
           26
        - 26
         -----
            0
   

7. Final Result:

   • The quotient is 311 and the remainder is 0.
   • Thus, \( 8086 \div 26 = 311 \).

So, the final answer is:

\[ \boxed{311} \]