11513 ÷ 3 = 3837 R2
We're going to perform division on 11513 with 3 as the divisor.

Step 1:
3 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 (1) of the dividend behind the 1 and repeat the process: 11 / 3

Step 2:
3 goes into 11 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 9 from 11 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 3

Step 3:
3 goes into 25 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 38
Subtract 24 from 25 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 3

Step 4:
3 goes into 11 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 383
Subtract 9 from 11 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 3

Step 5:
3 goes into 23 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 3837
Subtract 21 from 23 to get 2.

The final result is 3837 with a remainder of 2.