95103 ÷ 7 = 13586 R1
Let's divide 95103 by 7.

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 (0) of the dividend behind the 6 and repeat the process: 60 / 7

Step 4:
7 goes into 60 8 times with a remainder of 4.
Write down 8 as next digit of of the result. 
Result so far: 1358
Subtract 56 from 60 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 7

Step 5:
7 goes into 43 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 13586
Subtract 42 from 43 to get 1.

The final result is 13586 with a remainder of 1.