13114 ÷ 9 = 1457 R1
Let's divide 13114 by 9.

Step 1:
9 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 9

Step 2:
9 goes into 13 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 9 from 13 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: 14
Subtract 36 from 41 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 9

Step 4:
9 goes into 51 5 times with a remainder of 6.
Write down 5 as next digit of of the result. 
Result so far: 145
Subtract 45 from 51 to get 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 9

Step 5:
9 goes into 64 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 1457
Subtract 63 from 64 to get 1.

The final result is 1457 with a remainder of 1.