84279 ÷ 7 = 12039 R6
Alright, let's work through the division of 84279 by 7 step by step.

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 (4) of the dividend behind the 1 and repeat the process: 14 / 7

Step 2:
7 goes into 14 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 14 from 14 to get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 7

Step 3:
7 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 120
Subtract 0 from 2 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 7

Step 4:
7 goes into 27 3 times with a remainder of 6.
Write down 3 as next digit of of the result. 
Result so far: 1203
Subtract 21 from 27 to get 6.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 7

Step 5:
7 goes into 69 9 times with a remainder of 6.
Write down 9 as next digit of of the result. 
Result so far: 12039
Subtract 63 from 69 to get 6.

The final result is 12039 with a remainder of 6.