500
Place the decimal in the appropriate spot and explain your reasoning.
2564.86 / .24 = 1 0 6 8 6 9 1 6 6 7
What is 10686.91667.
Round 2564.86 to around 2500. Round .24 to .25 (which is the same as 1/4). Dividing a number by another number which is less than 1 will result in a larger number than you started with. Think 2500 / (1/4), which is like multiplying by the reciprocal. So, what really is happening is 2500 x 4, which is 10000. So it would make sense to place the decimal so that you get an answer in the ten thousands.