6542 ÷ 3 = 2180 R2
Alright, let's work through the division of 6542 by 3 step by step.

Step 1:
3 goes into 6 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 6 from 6 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 3

Step 2:
3 goes into 5 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 21
Subtract 3 from 5 to get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 3

Step 3:
3 goes into 24 8 times with a remainder of 0.
Write down 8 as next digit of of the result. 
Result so far: 218
Subtract 24 from 24 to get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 3

Step 4:
3 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 2180
Subtract 0 from 2 to get 2.

The final result is 2180 with a remainder of 2.