71114 ÷ 4 = 17778 R2
Alright, let's work through the division of 71114 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 (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: 17
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: 177
Subtract 28 from 31 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 4

Step 4:
4 goes into 31 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 1777
Subtract 28 from 31 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 4

Step 5:
4 goes into 34 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 17778
Subtract 32 from 34 to get 2.

The final result is 17778 with a remainder of 2.