59/82 as a decimal
59/82 as a decimal is 0.719512… (the digits 19512 repeat forever), which is 0.72 rounded to 2 decimal places.
Change either number to try your own. The digits 19512 repeat. Rounded to 2 places: 0.72. In lowest terms: 59/82.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 59 by the bottom number 82.
- 2
82 does not go into 59 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 19512 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{59}{82} = 0.7\overline{19512} \]
\[ \frac{59}{82} = 59 \div 82 \]Long division of 59 by 82
| Step | Remainder × 10 | Divide by 82 | Remainder left |
|---|---|---|---|
| 1 | 590 | 590 ÷ 82 = 7 | 16 |
| 2 | 160 | 160 ÷ 82 = 1 | 78 |
| 3 | 780 | 780 ÷ 82 = 9 | 42 |
| 4 | 420 | 420 ÷ 82 = 5 | 10 |
| 5 | 100 | 100 ÷ 82 = 1 | 18 |
| 6 | 180 | 180 ÷ 82 = 2 | 16 |
Questions
What is 59/82 as a decimal?
59/82 as a decimal is 0.719512… (the digits 19512 repeat forever), which is 0.72 rounded to 2 decimal places.
Is 59/82 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 19512 (5 digits) repeats.
What is 59/82 as a percent?
59/82 is 71.951219…% as a percent.
How do I round 59/82 to 2 decimal places?
59/82 rounded to 2 decimal places is 0.72.