83919 ÷ 5 = 16783 R4
Alright, let's work through the division of 83919 by 5 step by step.

Step 1:
5 goes into 8 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 5 from 8 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 5

Step 2:
5 goes into 33 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 16
Subtract 30 from 33 to get 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 5

Step 3:
5 goes into 39 7 times with a remainder of 4.
Write down 7 as next digit of of the result. 
Result so far: 167
Subtract 35 from 39 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 5

Step 4:
5 goes into 41 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 1678
Subtract 40 from 41 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 5

Step 5:
5 goes into 19 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 16783
Subtract 15 from 19 to get 4.

The final result is 16783 with a remainder of 4.