6886 ÷ 4 = 1721 R2
No problem, we've got 6886 and 4 for the division.

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 (8) of the dividend behind the 2 and repeat the process: 28 / 4

Step 2:
4 goes into 28 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 17
Subtract 28 from 28 to get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 4

Step 3:
4 goes into 8 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 172
Subtract 8 from 8 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 4

Step 4:
4 goes into 6 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1721
Subtract 4 from 6 to get 2.

The final result is 1721 with a remainder of 2.