8119 ÷ 5 = 1623 R4
Let's divide 8119 by 5.

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 (1) of the dividend behind the 3 and repeat the process: 31 / 5

Step 2:
5 goes into 31 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 16
Subtract 30 from 31 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 5

Step 3:
5 goes into 11 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 162
Subtract 10 from 11 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 5

Step 4:
5 goes into 19 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 1623
Subtract 15 from 19 to get 4.

The final result is 1623 with a remainder of 4.