8679 ÷ 7 = 1239 R6
No problem, we've got 8679 and 7 for the division.

Step 1:
7 goes into 8 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 7 from 8 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 7

Step 2:
7 goes into 16 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 14 from 16 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 7

Step 3:
7 goes into 27 3 times with a remainder of 6.
Write down 3 as next digit of of the result. 
Result so far: 123
Subtract 21 from 27 to get 6.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 7

Step 4:
7 goes into 69 9 times with a remainder of 6.
Write down 9 as next digit of of the result. 
Result so far: 1239
Subtract 63 from 69 to get 6.

The final result is 1239 with a remainder of 6.