65587 ÷ 5 = 13117 R2
No problem, we've got 65587 and 5 for the division.

Step 1:
5 goes into 6 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 5 from 6 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 5

Step 2:
5 goes into 15 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 13
Subtract 15 from 15 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 5

Step 3:
5 goes into 5 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 131
Subtract 5 from 5 to get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 5

Step 4:
5 goes into 8 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1311
Subtract 5 from 8 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 5

Step 5:
5 goes into 37 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 13117
Subtract 35 from 37 to get 2.

The final result is 13117 with a remainder of 2.