6815 ÷ 7 = 973 R4
Let's divide 6815 by 7.

Step 1:
7 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 6 to get 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 7

Step 2:
7 goes into 68 9 times with a remainder of 5.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 63 from 68 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 7

Step 3:
7 goes into 51 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 97
Subtract 49 from 51 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 7

Step 4:
7 goes into 25 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 973
Subtract 21 from 25 to get 4.

The final result is 973 with a remainder of 4.