34142 ÷ 5 = 6828 R2
We're going to perform division on 34142 with 5 as the divisor.

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 (4) of the dividend behind the 3 and repeat the process: 34 / 5

Step 2:
5 goes into 34 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 30 from 34 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 5

Step 3:
5 goes into 41 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 68
Subtract 40 from 41 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: 682
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: 6828
Subtract 40 from 42 to get 2.

The final result is 6828 with a remainder of 2.