5638 ÷ 7 = 805 R3
Let's divide 5638 by 7.

Step 1:
7 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 5 to get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 7

Step 2:
7 goes into 56 8 times with a remainder of 0.
Write down 8 as next digit of of the result. 
Result so far: 8
Subtract 56 from 56 to get 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 7

Step 3:
7 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 80
Subtract 0 from 3 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 7

Step 4:
7 goes into 38 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 805
Subtract 35 from 38 to get 3.

The final result is 805 with a remainder of 3.