21850 ÷ 6 = 3641 R4
Alright, let's work through the division of 21850 by 6 step by step.

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 (5) of the dividend behind the 2 and repeat the process: 25 / 6

Step 4:
6 goes into 25 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 364
Subtract 24 from 25 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 6

Step 5:
6 goes into 10 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 3641
Subtract 6 from 10 to get 4.

The final result is 3641 with a remainder of 4.