11299 ÷ 4 = 2824 R3
Alright, let's work through the division of 11299 by 4 step by step.

Step 1:
4 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 / 4

Step 2:
4 goes into 11 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 8 from 11 to get 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 4

Step 3:
4 goes into 32 8 times with a remainder of 0.
Write down 8 as next digit of of the result. 
Result so far: 28
Subtract 32 from 32 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 4

Step 4:
4 goes into 9 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 282
Subtract 8 from 9 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 4

Step 5:
4 goes into 19 4 times with a remainder of 3.
Write down 4 as next digit of of the result. 
Result so far: 2824
Subtract 16 from 19 to get 3.

The final result is 2824 with a remainder of 3.