7564 ÷ 4 = 1891 R0
Alright, let's work through the division of 7564 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 (5) of the dividend behind the 3 and repeat the process: 35 / 4

Step 2:
4 goes into 35 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 18
Subtract 32 from 35 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 4

Step 3:
4 goes into 36 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 189
Subtract 36 from 36 to get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 4

Step 4:
4 goes into 4 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1891
Subtract 4 from 4 to get 0.

The final result is 1891 with a remainder of 0.