10277 ÷ 7 = 1468 R1
Alright, let's work through the division of 10277 by 7 step by step.

Step 1:
7 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 7

Step 2:
7 goes into 10 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 7 from 10 to get 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 7

Step 3:
7 goes into 32 4 times with a remainder of 4.
Write down 4 as next digit of of the result. 
Result so far: 14
Subtract 28 from 32 to get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 7

Step 4:
7 goes into 47 6 times with a remainder of 5.
Write down 6 as next digit of of the result. 
Result so far: 146
Subtract 42 from 47 to get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 7

Step 5:
7 goes into 57 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 1468
Subtract 56 from 57 to get 1.

The final result is 1468 with a remainder of 1.