4338 ÷ 7 = 619 R5
Alright, let's work through the division of 4338 by 7 step by step.

Step 1:
7 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 4 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 7

Step 2:
7 goes into 43 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 42 from 43 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 7

Step 3:
7 goes into 13 1 times with a remainder of 6.
Write down 1 as next digit of of the result. 
Result so far: 61
Subtract 7 from 13 to get 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 7

Step 4:
7 goes into 68 9 times with a remainder of 5.
Write down 9 as next digit of of the result. 
Result so far: 619
Subtract 63 from 68 to get 5.

The final result is 619 with a remainder of 5.