6537 ÷ 3 = 2179 R0
We're going to perform division on 6537 with 3 as the divisor.

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 (3) of the dividend behind the 2 and repeat the process: 23 / 3

Step 3:
3 goes into 23 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 217
Subtract 21 from 23 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 3

Step 4:
3 goes into 27 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 2179
Subtract 27 from 27 to get 0.

The final result is 2179 with a remainder of 0.