98587 ÷ 9 = 10954 R1
Alright, let's work through the division of 98587 by 9 step by step.

Step 1:
9 goes into 9 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 9 from 9 to get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 9

Step 2:
9 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 8 to get 8.
Bring next digit (5) of the dividend behind the 8 and repeat the process: 85 / 9

Step 3:
9 goes into 85 9 times with a remainder of 4.
Write down 9 as next digit of of the result. 
Result so far: 109
Subtract 81 from 85 to get 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 9

Step 4:
9 goes into 48 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 1095
Subtract 45 from 48 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 9

Step 5:
9 goes into 37 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 10954
Subtract 36 from 37 to get 1.

The final result is 10954 with a remainder of 1.