Octal is a way of counting that uses only 8 digits - 0, 1, 2, 3, 4, 5, 6, and 7. Counting in octal is just like counting normally, but once you get to 7, instead of adding another digit like you would in normal counting, you start over again with 0 and add 1 to the left digit. For example, if you count from 0 to 7 in octal, it looks like this: 0, 1, 2, 3, 4, 5, 6, 7. But then, if you add 1 to 7 in octal, you get 10 - this means you've added 1 to the left digit (which was 0), and started over at 0 for the right digit.
Octal is often used in computing because it's a quick and easy way to represent binary numbers (numbers made up of 0s and 1s). In fact, each octal digit can be represented by exactly 3 binary digits - 0 = 000, 1 = 001, 2 = 010, 3 = 011, 4 = 100, 5 = 101, 6 = 110, 7 = 111. This makes it really easy to convert between octal and binary - you just have to group the binary digits into threes and read the corresponding octal digit.
Overall, octal is just a counting system that uses 8 digits instead of 10, and it's useful for representing binary numbers in a more compact way.