9455 ÷ 6 = 1575 R5
We're going to perform division on 9455 with 6 as the divisor.

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 (4) of the dividend behind the 3 and repeat the process: 34 / 6

Step 2:
6 goes into 34 5 times with a remainder of 4.
Write down 5 as next digit of of the result. 
Result so far: 15
Subtract 30 from 34 to get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 6

Step 3:
6 goes into 45 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 157
Subtract 42 from 45 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 6

Step 4:
6 goes into 35 5 times with a remainder of 5.
Write down 5 as next digit of of the result. 
Result so far: 1575
Subtract 30 from 35 to get 5.

The final result is 1575 with a remainder of 5.