67882 ÷ 4 = 16970 R2
Alright, let's work through the division of 67882 by 4 step by step.

Step 1:
4 goes into 6 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 4 from 6 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 4

Step 2:
4 goes into 27 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 16
Subtract 24 from 27 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 4

Step 3:
4 goes into 38 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 169
Subtract 36 from 38 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 4

Step 4:
4 goes into 28 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 1697
Subtract 28 from 28 to get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 4

Step 5:
4 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 16970
Subtract 0 from 2 to get 2.

The final result is 16970 with a remainder of 2.