7773 ÷ 4 = 1943 R1
Alright, let's work through the division of 7773 by 4 step by step.

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

Step 2:
4 goes into 37 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 19
Subtract 36 from 37 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 4

Step 3:
4 goes into 17 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 194
Subtract 16 from 17 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 4

Step 4:
4 goes into 13 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 1943
Subtract 12 from 13 to get 1.

The final result is 1943 with a remainder of 1.