689/6

3 answers

The result of \( 689 \div 6 \) is approximately \( 114.8333 \). If you need the answer in fractional form, it can also be represented as:

\[ 114 \frac{5}{6} \]

or in decimal form as \( 114.83 \) (rounded to two decimal places).

step by step

Sure! Let’s divide \( 689 \) by \( 6 \) step by step.

Step 1: Setup the Division

We will set it up as long division:

   ___________
6 | 689

Step 2: Divide the First Digit

Look at the first digit, which is \( 6 \):

  • How many times does \( 6 \) go into \( 6 \)?
    • It goes \( 1 \) time.
  • Write \( 1 \) above the line:
   1
   ___________
6 | 689
  • Multiply \( 1 \) by \( 6 \) and write the result \( 6 \) below the \( 6 \):
   1
   ___________
6 | 689
   -6

Step 3: Subtract

Now subtract \( 6 \) from \( 6 \): \[ 6 - 6 = 0 \] So write \( 0 \) below:

   1
   ___________
6 | 689
   -6
   -----
    0

Step 4: Bring Down the Next Digit

Next, bring down the next digit, which is \( 8 \):

   1
   ___________
6 | 689
   -6
   -----
    08

Step 5: Divide Again

Now divide \( 8 \) by \( 6 \):

  • How many times does \( 6 \) go into \( 8 \)?
    • It goes \( 1 \) time.
  • Write \( 1 \) next to the previous quotient:
   11
   ___________
6 | 689
   -6
   -----
    08
   -6

Step 6: Subtract Again

Subtract \( 6 \) from \( 8 \): \[ 8 - 6 = 2 \] So write \( 2 \):

   11
   ___________
6 | 689
   -6
   -----
    08
   -6
   -----
     2

Step 7: Bring Down the Next Digit

Next, bring down the final digit \( 9 \):

   11
   ___________
6 | 689
   -6
   -----
    08
   -6
   -----
     29

Step 8: Divide Again

Now divide \( 29 \) by \( 6 \):

  • How many times does \( 6 \) go into \( 29 \)?
    • It goes \( 4 \) times.
  • Write \( 4 \) next to the quotient:
   114
   ___________
6 | 689
   -6
   -----
    08
   -6
   -----
     29
   -24

Step 9: Subtract Again

Subtract \( 24 \) from \( 29 \): \[ 29 - 24 = 5 \] So write \( 5 \):

   114
   ___________
6 | 689
   -6
   -----
    08
   -6
   -----
     29
   -24
   -----
      5

Step 10: Remainder

Now, since there are no more digits to bring down, we have completed the division.

  • The quotient is \( 114 \) with a remainder of \( 5 \).

Step 11: Result

So, \( 689 \div 6 = 114 \) with a remainder of \( 5 \).

In summary:

  • Quotient: \( 114 \)
  • Remainder: \( 5 \)

You can also express the result as a mixed number, \( 114 \frac{5}{6} \), or in decimal form approximately \( 114.83 \).