6614 ÷ 5 = 1322 R4
Alright, let's work through the division of 6614 by 5 step by step.

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

Step 2:
5 goes into 16 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 13
Subtract 15 from 16 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: 132
Subtract 10 from 11 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 5

Step 4:
5 goes into 14 2 times with a remainder of 4.
Write down 2 as next digit of of the result. 
Result so far: 1322
Subtract 10 from 14 to get 4.

The final result is 1322 with a remainder of 4.