54641 ÷ 7 = 7805 R6
Alright, let's work through the division of 54641 by 7 step by step.

Step 1:
7 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 5 to get 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 7

Step 2:
7 goes into 54 7 times with a remainder of 5.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 49 from 54 to get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 7

Step 3:
7 goes into 56 8 times with a remainder of 0.
Write down 8 as next digit of of the result. 
Result so far: 78
Subtract 56 from 56 to get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 7

Step 4:
7 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 780
Subtract 0 from 4 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 7

Step 5:
7 goes into 41 5 times with a remainder of 6.
Write down 5 as next digit of of the result. 
Result so far: 7805
Subtract 35 from 41 to get 6.

The final result is 7805 with a remainder of 6.