7777 ÷ 5 = 1555 R2
Let's divide 7777 by 5.

Step 1:
5 goes into 7 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 5 from 7 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 5

Step 2:
5 goes into 27 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 15
Subtract 25 from 27 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 5

Step 3:
5 goes into 27 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 155
Subtract 25 from 27 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 5

Step 4:
5 goes into 27 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 1555
Subtract 25 from 27 to get 2.

The final result is 1555 with a remainder of 2.