71/82 as a decimal
71/82 as a decimal is 0.865853… (the digits 65853 repeat forever), which is 0.87 rounded to 2 decimal places.
Change either number to try your own. The digits 65853 repeat. Rounded to 2 places: 0.87. In lowest terms: 71/82.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 71 by the bottom number 82.
- 2
82 does not go into 71 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 65853 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{71}{82} = 0.8\overline{65853} \]
\[ \frac{71}{82} = 71 \div 82 \]Long division of 71 by 82
| Step | Remainder × 10 | Divide by 82 | Remainder left |
|---|---|---|---|
| 1 | 710 | 710 ÷ 82 = 8 | 54 |
| 2 | 540 | 540 ÷ 82 = 6 | 48 |
| 3 | 480 | 480 ÷ 82 = 5 | 70 |
| 4 | 700 | 700 ÷ 82 = 8 | 44 |
| 5 | 440 | 440 ÷ 82 = 5 | 30 |
| 6 | 300 | 300 ÷ 82 = 3 | 54 |
Questions
What is 71/82 as a decimal?
71/82 as a decimal is 0.865853… (the digits 65853 repeat forever), which is 0.87 rounded to 2 decimal places.
Is 71/82 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 65853 (5 digits) repeats.
What is 71/82 as a percent?
71/82 is 86.585365…% as a percent.
How do I round 71/82 to 2 decimal places?
71/82 rounded to 2 decimal places is 0.87.