41607 ÷ 7 = 5943 R6
Alright, let's work through the division of 41607 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 (6) of the dividend behind the 6 and repeat the process: 66 / 7

Step 3:
7 goes into 66 9 times with a remainder of 3.
Write down 9 as next digit of of the result. 
Result so far: 59
Subtract 63 from 66 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 7

Step 4:
7 goes into 30 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 594
Subtract 28 from 30 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 7

Step 5:
7 goes into 27 3 times with a remainder of 6.
Write down 3 as next digit of of the result. 
Result so far: 5943
Subtract 21 from 27 to get 6.

The final result is 5943 with a remainder of 6.