87587 ÷ 4 = 21896 R3
Alright, let's work through the division of 87587 by 4 step by step.

Step 1:
4 goes into 8 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 8 from 8 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 4

Step 2:
4 goes into 7 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 21
Subtract 4 from 7 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 4

Step 3:
4 goes into 35 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 218
Subtract 32 from 35 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 4

Step 4:
4 goes into 38 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 2189
Subtract 36 from 38 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 4

Step 5:
4 goes into 27 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 21896
Subtract 24 from 27 to get 3.

The final result is 21896 with a remainder of 3.