6770 ÷ 7 = 967 R1
Let's divide 6770 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 (7) of the dividend behind the 6 and repeat the process: 67 / 7

Step 2:
7 goes into 67 9 times with a remainder of 4.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 63 from 67 to get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 7

Step 3:
7 goes into 47 6 times with a remainder of 5.
Write down 6 as next digit of of the result. 
Result so far: 96
Subtract 42 from 47 to get 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 7

Step 4:
7 goes into 50 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 967
Subtract 49 from 50 to get 1.

The final result is 967 with a remainder of 1.