My nephew was given the following homework:

What is 500 ÷ 66?

The calculator tells me that 7.5757575758 is the answer. The teacher wants the class to work it put by hand. Originally Posted by harpazo My nephew was given the following homework:

What is 500 ÷ 66?

The calculator tells me that 7.5757575758 is the answer. The teacher wants the class to work it put by hand.
Here is a decent video.

-Dan

66 is pretty close to 70 so I would try 7 as a "trial divisor": 7 divides into 50 7 times. 7*66 is 7*66= 462. 500- 462= 38 so we have, so far, 7 as quotient and remainder 38. Bringing down a "0" gives 380. 7 divides into 38 5 times. 5*66= 330. 380- 330= 50. So far we have 7.5 with remainder 50. Bringing down a "0" makes that 500, the number we started with. Continuing will just repeat the "75" again. 500/66= 5.757575757... with the "57" repeating. (Which is NOT "7.5757575758".) Originally Posted by HallsofIvy 66 is pretty close to 70 so I would try 7 as a "trial divisor": 7 divides into 50 7 times. 7*66 is 7*66= 462. 500- 462= 38 so we have, so far, 7 as quotient and remainder 38. Bringing down a "0" gives 380. 7 divides into 38 5 times. 5*66= 330. 380- 330= 50. So far we have 7.5 with remainder 50. Bringing down a "0" makes that 500, the number we started with. Continuing will just repeat the "75" again. 500/66= 5.757575757... with the "57" repeating. (Which is NOT "7.5757575758".)
We can say that 500/66 = 7.57 with a bar above the numbers 57 to show repetition. Correct? Originally Posted by topsquark Here is a decent video.

-Dan
I decided to reduce 500/66 to 250/33 and got the same answer: 7.57 with a bar above 57 to show repetition. Originally Posted by harpazo We can say that 500/66 = 7.57 with a bar above the numbers 57 to show repetition. Correct?
Yes, that is correct. Originally Posted by HallsofIvy 