21824 ÷ 6 = 3637 R2
We're going to perform division on 21824 with 6 as the divisor.

Step 1:
6 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 2 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 6

Step 2:
6 goes into 21 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 18 from 21 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 6

Step 3:
6 goes into 38 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 36
Subtract 36 from 38 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 6

Step 4:
6 goes into 22 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 363
Subtract 18 from 22 to get 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 6

Step 5:
6 goes into 44 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 3637
Subtract 42 from 44 to get 2.

The final result is 3637 with a remainder of 2.