4178 ÷ 7 = 596 R6
Alright, let's work through the division of 4178 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 (7) of the dividend behind the 6 and repeat the process: 67 / 7

Step 3:
7 goes into 67 9 times with a remainder of 4.
Write down 9 as next digit of of the result. 
Result so far: 59
Subtract 63 from 67 to get 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 7

Step 4:
7 goes into 48 6 times with a remainder of 6.
Write down 6 as next digit of of the result. 
Result so far: 596
Subtract 42 from 48 to get 6.

The final result is 596 with a remainder of 6.