59/83 as a decimal
59/83 as a decimal is 0.71084337349397590361445783132530120481927… (the digits 71084337349397590361445783132530120481927 repeat forever), which is 0.71 rounded to 2 decimal places.
Change either number to try your own. The digits 71084337349397590361445783132530120481927 repeat. Rounded to 2 places: 0.71. In lowest terms: 59/83.
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 83.
- 2
83 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 83, and write the digit. A remainder comes back after 41 steps, so the digits 71084337349397590361445783132530120481927 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{59}{83} = 0.\overline{71084337349397590361445783132530120481927} \]
\[ \frac{59}{83} = 59 \div 83 \]Long division of 59 by 83
| Step | Remainder × 10 | Divide by 83 | Remainder left |
|---|---|---|---|
| 1 | 590 | 590 ÷ 83 = 7 | 9 |
| 2 | 90 | 90 ÷ 83 = 1 | 7 |
| 3 | 70 | 70 ÷ 83 = 0 | 70 |
| 4 | 700 | 700 ÷ 83 = 8 | 36 |
| 5 | 360 | 360 ÷ 83 = 4 | 28 |
| 6 | 280 | 280 ÷ 83 = 3 | 31 |
| 7 | 310 | 310 ÷ 83 = 3 | 61 |
| 8 | 610 | 610 ÷ 83 = 7 | 29 |
| 9 | 290 | 290 ÷ 83 = 3 | 41 |
| 10 | 410 | 410 ÷ 83 = 4 | 78 |
| 11 | 780 | 780 ÷ 83 = 9 | 33 |
| 12 | 330 | 330 ÷ 83 = 3 | 81 |
Questions
What is 59/83 as a decimal?
59/83 as a decimal is 0.71084337349397590361445783132530120481927… (the digits 71084337349397590361445783132530120481927 repeat forever), which is 0.71 rounded to 2 decimal places.
Is 59/83 a terminating or a repeating decimal?
It repeats. The bottom number 83 = 83 has a prime factor other than 2 and 5, so the division never ends and the block 71084337349397590361445783132530120481927 (41 digits) repeats.
What is 59/83 as a percent?
59/83 is 71.08433734939759036144578313253012048192771…% as a percent.
How do I round 59/83 to 2 decimal places?
59/83 rounded to 2 decimal places is 0.71.