use standered algorithm to fine 4184 dvided by 8

To divide 4184 by 8 using the standard long division algorithm, follow these steps:

1. Set Up the Division: Write 4184 under the long division symbol and 8 outside.

    ____________
8 | 4184

2. Divide the First Digit: Look at the first digit (4). Since 4 is less than 8, we look at the first two digits (41).

3. Divide 41 by 8:

   • 8 goes into 41 five times (because \(8 \times 5 = 40\)).
   • Write 5 above the division line.

    5
    ____________
8 | 4184
     -40

4. Subtract: Subtract 40 from 41 leaves you with 1.

    5
    ____________
8 | 4184
     -40
     ------
      1

5. Bring Down the Next Digit: Bring down the next digit, which is 8, making it 18.

    5
    ____________
8 | 4184
     -40
     ------
      18

6. Divide 18 by 8:
   • 8 goes into 18 two times (because \(8 \times 2 = 16\)).
   • Write 2 above the division line next to 5.

    52
    ____________
8 | 4184
     -40
     ------
      18
     -16

7. Subtract Again: Subtract 16 from 18 leaves you with 2.

    52
    ____________
8 | 4184
     -40
     ------
      18
     -16
     -----
       2

8. Bring Down the Next Digit: Bring down the next digit, which is 4, making it 24.

    52
    ____________
8 | 4184
     -40
     ------
      18
     -16
     -----
       24

9. Divide 24 by 8:
   • 8 goes into 24 three times (because \(8 \times 3 = 24\)).
   • Write 3 above the division line next to 52.

    523
    ____________
8 | 4184
     -40
     ------
      18
     -16
     -----
       24
     -24

10. Final Subtraction: Subtract 24 from 24 leaves you with 0.

    523
    ____________
8 | 4184
     -40
     ------
      18
     -16
     -----
       24
     -24
     -----
        0

11. Result: The division is complete. 4184 divided by 8 is \(523\) with a remainder of \(0\).

So, \(4184 \div 8 = 523\).