95070 ÷ 7 = 13581 R3
Alright, let's work through the division of 95070 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 (0) of the dividend behind the 4 and repeat the process: 40 / 7

Step 3:
7 goes into 40 5 times with a remainder of 5.
Write down 5 as next digit of of the result. 
Result so far: 135
Subtract 35 from 40 to get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 7

Step 4:
7 goes into 57 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 1358
Subtract 56 from 57 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 7

Step 5:
7 goes into 10 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 13581
Subtract 7 from 10 to get 3.

The final result is 13581 with a remainder of 3.