38142 ÷ 5 = 7628 R2
Alright, let's work through the division of 38142 by 5 step by step.

Step 1:
5 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 3 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 5

Step 2:
5 goes into 38 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 35 from 38 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 5

Step 3:
5 goes into 31 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 76
Subtract 30 from 31 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: 762
Subtract 10 from 14 to get 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 5

Step 5:
5 goes into 42 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 7628
Subtract 40 from 42 to get 2.

The final result is 7628 with a remainder of 2.