Estimate using any method. Show how you estimated. Then calculate the exact answer. Show your calculation work:

824 ÷ 6

This requires YOU to show your method. My method is not what you would do.

My method
800x6+25x6=4800+150=4950
DO NOT use my method. Use yours.

To estimate the division of 824 by 6, you can use a compatible number. A compatible number is a number that is easy to work with mentally and is close to the given numbers.

In this case, you can round 824 down to the nearest multiple of 6, which is 822. Then you can divide 822 by 6:

822 ÷ 6 = 137

Therefore, the estimated quotient of 824 ÷ 6 is 137.

To calculate the exact answer, you can use long division. Here's how you can calculate it:

137
---------------
6 | 824

First, you divide 8, the first digit of 824, by 6. The quotient is 1, and you write it above the division line. Then, you multiply 1 by 6, which equals 6, and subtract it from 8:

137
---------------
6 | 824
- 6
-----
24

Next, you bring down the next digit, which is 2. Now, you have 24. You divide 24 by 6 and get a quotient of 4. Write it next to the previous quotient:

137
---------------
6 | 824
- 6
-----
24
24
-----
0

There are no more digits to bring down, and the remainder is 0. Therefore, the exact quotient of 824 ÷ 6 is 137.

So, the estimated and exact quotient of 824 ÷ 6 are both 137.