To solve the division of 4867 by 16 using long division, we follow these steps:
1. Setup the Division:
- Write 4867 under the long division bar and place 16 outside the bar.
2. Divide the first digit (4):
- 16 does not go into 4.
- Therefore, move to the next digit.
3. Divide the first two digits (48):
- 16 goes into 48 three times (since [tex]\( 16 \times 3 = 48 \)[/tex]).
- Write 3 above the long division bar, aligned with the second digit of 4867 (which is 8).
- Subtract [tex]\( 48 \)[/tex] from [tex]\( 48 \)[/tex], which gives us a result of 0.
4. Bring down the next digit (6):
- The current working number is 6 (from bringing down the next digit of 4867).
5. Divide 6 by 16:
- 16 does not go into 6.
- Write 0 above the long division bar, aligned with the third digit of 4867 (which is 6).
6. Bring down the next digit (7):
- Now, the current working number is 67 (from bringing down the final digit of 4867).
7. Divide 67 by 16:
- 16 goes into 67 four times (since [tex]\( 16 \times 4 = 64 \)[/tex]).
- Write 4 above the long division bar, aligned with the fourth digit of 4867 (which is 7).
- Subtract [tex]\( 64 \)[/tex] from [tex]\( 67 \)[/tex], which gives us a remainder of 3.
8. Conclusion:
- The quotient of 4867 divided by 16 is 304.
- The remainder of 4867 divided by 16 is 3.
Therefore, 4867 divided by 16 results in a quotient of 304 and a remainder of 3.
