57/82 as a decimal
57/82 as a decimal is 0.695121… (the digits 95121 repeat forever), which is 0.70 rounded to 2 decimal places.
Change either number to try your own. The digits 95121 repeat. Rounded to 2 places: 0.70. In lowest terms: 57/82.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 57 by the bottom number 82.
- 2
82 does not go into 57 even once, so the whole part is 0 and we carry on after the decimal point.
- 3
Long division: bring down a zero each time (multiply the remainder by 10), divide by 82, and write the digit. A remainder comes back after 6 steps, so the digits 95121 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{57}{82} = 0.6\overline{95121} \]
\[ \frac{57}{82} = 57 \div 82 \]Long division of 57 by 82
| Step | Remainder × 10 | Divide by 82 | Remainder left |
|---|---|---|---|
| 1 | 570 | 570 ÷ 82 = 6 | 78 |
| 2 | 780 | 780 ÷ 82 = 9 | 42 |
| 3 | 420 | 420 ÷ 82 = 5 | 10 |
| 4 | 100 | 100 ÷ 82 = 1 | 18 |
| 5 | 180 | 180 ÷ 82 = 2 | 16 |
| 6 | 160 | 160 ÷ 82 = 1 | 78 |
Questions
What is 57/82 as a decimal?
57/82 as a decimal is 0.695121… (the digits 95121 repeat forever), which is 0.70 rounded to 2 decimal places.
Is 57/82 a terminating or a repeating decimal?
It repeats. The bottom number 82 = 2 × 41 has a prime factor other than 2 and 5, so the division never ends and the block 95121 (5 digits) repeats.
What is 57/82 as a percent?
57/82 is 69.512195…% as a percent.
How do I round 57/82 to 2 decimal places?
57/82 rounded to 2 decimal places is 0.70.