6743 ÷ 8 = 842 R7
Let's divide 6743 by 8.

Step 1:
8 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 / 8

Step 2:
8 goes into 67 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 8
Subtract 64 from 67 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 8

Step 3:
8 goes into 34 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 84
Subtract 32 from 34 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 8

Step 4:
8 goes into 23 2 times with a remainder of 7.
Write down 2 as next digit of of the result. 
Result so far: 842
Subtract 16 from 23 to get 7.

The final result is 842 with a remainder of 7.