15049 ÷ 4 = 3762 R1
Alright, let's work through the division of 15049 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 (5) of the dividend behind the 1 and repeat the process: 15 / 4

Step 2:
4 goes into 15 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 12 from 15 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 4

Step 3:
4 goes into 30 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 37
Subtract 28 from 30 to get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 4

Step 4:
4 goes into 24 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 376
Subtract 24 from 24 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 4

Step 5:
4 goes into 9 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 3762
Subtract 8 from 9 to get 1.

The final result is 3762 with a remainder of 1.