19368 ÷ 5 = 3873 R3
Alright, let's work through the division of 19368 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 (9) of the dividend behind the 1 and repeat the process: 19 / 5

Step 2:
5 goes into 19 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 15 from 19 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 5

Step 3:
5 goes into 43 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 38
Subtract 40 from 43 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 5

Step 4:
5 goes into 36 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 387
Subtract 35 from 36 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 5

Step 5:
5 goes into 18 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 3873
Subtract 15 from 18 to get 3.

The final result is 3873 with a remainder of 3.