5677 ÷ 4 = 1419 R1
Let's divide 5677 by 4.

Step 1:
4 goes into 5 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 4 from 5 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 4

Step 2:
4 goes into 16 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 14
Subtract 16 from 16 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 4

Step 3:
4 goes into 7 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 141
Subtract 4 from 7 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 4

Step 4:
4 goes into 37 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 1419
Subtract 36 from 37 to get 1.

The final result is 1419 with a remainder of 1.