8514 ÷ 9 = 946 R0
We're going to perform division on 8514 with 9 as the divisor.

Step 1:
9 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 8 to get 8.
Bring next digit (5) of the dividend behind the 8 and repeat the process: 85 / 9

Step 2:
9 goes into 85 9 times with a remainder of 4.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 81 from 85 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 9

Step 3:
9 goes into 41 4 times with a remainder of 5.
Write down 4 as next digit of of the result. 
Result so far: 94
Subtract 36 from 41 to get 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 9

Step 4:
9 goes into 54 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 946
Subtract 54 from 54 to get 0.

The final result is 946 with a remainder of 0.