13687 ÷ 9 = 1520 R7
We're going to perform division on 13687 with 9 as the divisor.

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 (6) of the dividend behind the 4 and repeat the process: 46 / 9

Step 3:
9 goes into 46 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 15
Subtract 45 from 46 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 9

Step 4:
9 goes into 18 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 152
Subtract 18 from 18 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 9

Step 5:
9 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of of the result. 
Result so far: 1520
Subtract 0 from 7 to get 7.

The final result is 1520 with a remainder of 7.