8888 ÷ 5 = 1777 R3
We're going to perform division on 8888 with 5 as the divisor.

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 (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: 17
Subtract 35 from 38 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 5

Step 3:
5 goes into 38 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 177
Subtract 35 from 38 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 5

Step 4:
5 goes into 38 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 1777
Subtract 35 from 38 to get 3.

The final result is 1777 with a remainder of 3.