5214 ÷ 6 = 869 R0
Alright, let's work through the division of 5214 by 6 step by step.

Step 1:
6 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 5 to get 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 6

Step 2:
6 goes into 52 8 times with a remainder of 4.
Write down 8 as next digit of of the result. 
Result so far: 8
Subtract 48 from 52 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 6

Step 3:
6 goes into 41 6 times with a remainder of 5.
Write down 6 as next digit of of the result. 
Result so far: 86
Subtract 36 from 41 to get 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 6

Step 4:
6 goes into 54 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 869
Subtract 54 from 54 to get 0.

The final result is 869 with a remainder of 0.