95380 ÷ 6 = 15896 R4
No problem, we've got 95380 and 6 for the division.

Step 1:
6 goes into 9 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 9 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 6

Step 2:
6 goes into 35 5 times with a remainder of 5.
Write down 5 as next digit of of the result. 
Result so far: 15
Subtract 30 from 35 to get 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 6

Step 3:
6 goes into 53 8 times with a remainder of 5.
Write down 8 as next digit of of the result. 
Result so far: 158
Subtract 48 from 53 to get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 6

Step 4:
6 goes into 58 9 times with a remainder of 4.
Write down 9 as next digit of of the result. 
Result so far: 1589
Subtract 54 from 58 to get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 6

Step 5:
6 goes into 40 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 15896
Subtract 36 from 40 to get 4.

The final result is 15896 with a remainder of 4.