15344 ÷ 5 = 3068 R4
Alright, let's work through the division of 15344 by 5 step by step.

Step 1:
5 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 / 5

Step 2:
5 goes into 15 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 15 from 15 to get 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 5

Step 3:
5 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 30
Subtract 0 from 3 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 5

Step 4:
5 goes into 34 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 306
Subtract 30 from 34 to get 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 5

Step 5:
5 goes into 44 8 times with a remainder of 4.
Write down 8 as next digit of of the result. 
Result so far: 3068
Subtract 40 from 44 to get 4.

The final result is 3068 with a remainder of 4.