16279 ÷ 7 = 2325 R4
Alright, let's work through the division of 16279 by 7 step by step.

Step 1:
7 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 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: 2
Subtract 14 from 16 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 7

Step 3:
7 goes into 22 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 23
Subtract 21 from 22 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 7

Step 4:
7 goes into 17 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 232
Subtract 14 from 17 to get 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 7

Step 5:
7 goes into 39 5 times with a remainder of 4.
Write down 5 as next digit of of the result. 
Result so far: 2325
Subtract 35 from 39 to get 4.

The final result is 2325 with a remainder of 4.