16074 ÷ 7 = 2296 R2
Alright, let's work through the division of 16074 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 (0) of the dividend behind the 2 and repeat the process: 20 / 7

Step 3:
7 goes into 20 2 times with a remainder of 6.
Write down 2 as next digit of of the result. 
Result so far: 22
Subtract 14 from 20 to get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 7

Step 4:
7 goes into 67 9 times with a remainder of 4.
Write down 9 as next digit of of the result. 
Result so far: 229
Subtract 63 from 67 to get 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 7

Step 5:
7 goes into 44 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 2296
Subtract 42 from 44 to get 2.

The final result is 2296 with a remainder of 2.