95489 ÷ 7 = 13641 R2
Alright, let's work through the division of 95489 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 (4) of the dividend behind the 4 and repeat the process: 44 / 7

Step 3:
7 goes into 44 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 136
Subtract 42 from 44 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 7

Step 4:
7 goes into 28 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 1364
Subtract 28 from 28 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 7

Step 5:
7 goes into 9 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 13641
Subtract 7 from 9 to get 2.

The final result is 13641 with a remainder of 2.