8676 ÷ 5 = 1735 R1
Let's divide 8676 by 5.

Step 1:
5 goes into 8 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 5 from 8 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 5

Step 2:
5 goes into 36 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 17
Subtract 35 from 36 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 5

Step 3:
5 goes into 17 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 173
Subtract 15 from 17 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 5

Step 4:
5 goes into 26 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 1735
Subtract 25 from 26 to get 1.

The final result is 1735 with a remainder of 1.