3117 ÷ 4 = 779 R1
No problem, we've got 3117 and 4 for the division.

Step 1:
4 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 3 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 4

Step 2:
4 goes into 31 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 28 from 31 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 4

Step 3:
4 goes into 31 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 77
Subtract 28 from 31 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 4

Step 4:
4 goes into 37 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 779
Subtract 36 from 37 to get 1.

The final result is 779 with a remainder of 1.