27750 ÷ 7 = 3964 R2
Alright, let's work through the division of 27750 by 7 step by step.

Step 1:
7 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 2 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 7

Step 2:
7 goes into 27 3 times with a remainder of 6.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 21 from 27 to get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 7

Step 3:
7 goes into 67 9 times with a remainder of 4.
Write down 9 as next digit of of the result. 
Result so far: 39
Subtract 63 from 67 to get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 7

Step 4:
7 goes into 45 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 396
Subtract 42 from 45 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 7

Step 5:
7 goes into 30 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 3964
Subtract 28 from 30 to get 2.

The final result is 3964 with a remainder of 2.