65587 ÷ 6 = 10931 R1
We're going to perform division on 65587 with 6 as the divisor.

Step 1:
6 goes into 6 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 6 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 6

Step 2:
6 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 5 to get 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 6

Step 3:
6 goes into 55 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 109
Subtract 54 from 55 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 6

Step 4:
6 goes into 18 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 1093
Subtract 18 from 18 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 6

Step 5:
6 goes into 7 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 10931
Subtract 6 from 7 to get 1.

The final result is 10931 with a remainder of 1.