95197 ÷ 7 = 13599 R4
Alright, let's work through the division of 95197 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 (5) of the dividend behind the 2 and repeat the process: 25 / 7

Step 2:
7 goes into 25 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 13
Subtract 21 from 25 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 7

Step 3:
7 goes into 41 5 times with a remainder of 6.
Write down 5 as next digit of of the result. 
Result so far: 135
Subtract 35 from 41 to get 6.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 7

Step 4:
7 goes into 69 9 times with a remainder of 6.
Write down 9 as next digit of of the result. 
Result so far: 1359
Subtract 63 from 69 to get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 7

Step 5:
7 goes into 67 9 times with a remainder of 4.
Write down 9 as next digit of of the result. 
Result so far: 13599
Subtract 63 from 67 to get 4.

The final result is 13599 with a remainder of 4.