71088 ÷ 4 = 17772 R0
Alright, let's work through the division of 71088 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 (0) of the dividend behind the 3 and repeat the process: 30 / 4

Step 3:
4 goes into 30 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 177
Subtract 28 from 30 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 4

Step 4:
4 goes into 28 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 1777
Subtract 28 from 28 to get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 4

Step 5:
4 goes into 8 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 17772
Subtract 8 from 8 to get 0.

The final result is 17772 with a remainder of 0.