97941 ÷ 7 = 13991 R4
Alright, let's work through the division of 97941 by 7 step by step.

Step 1:
7 goes into 9 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 7 from 9 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 7

Step 2:
7 goes into 27 3 times with a remainder of 6.
Write down 3 as next digit of of the result. 
Result so far: 13
Subtract 21 from 27 to get 6.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 7

Step 3:
7 goes into 69 9 times with a remainder of 6.
Write down 9 as next digit of of the result. 
Result so far: 139
Subtract 63 from 69 to get 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 7

Step 4:
7 goes into 64 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 1399
Subtract 63 from 64 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 7

Step 5:
7 goes into 11 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 13991
Subtract 7 from 11 to get 4.

The final result is 13991 with a remainder of 4.