4146 ÷ 7 = 592 R2
Alright, let's work through the division of 4146 by 7 step by step.

Step 1:
7 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 4 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 7

Step 2:
7 goes into 41 5 times with a remainder of 6.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 35 from 41 to get 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 7

Step 3:
7 goes into 64 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 59
Subtract 63 from 64 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 7

Step 4:
7 goes into 16 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 592
Subtract 14 from 16 to get 2.

The final result is 592 with a remainder of 2.