98961 ÷ 9 = 10995 R6
Alright, let's work through the division of 98961 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 (9) of the dividend behind the 8 and repeat the process: 89 / 9

Step 3:
9 goes into 89 9 times with a remainder of 8.
Write down 9 as next digit of of the result. 
Result so far: 109
Subtract 81 from 89 to get 8.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 9

Step 4:
9 goes into 86 9 times with a remainder of 5.
Write down 9 as next digit of of the result. 
Result so far: 1099
Subtract 81 from 86 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 9

Step 5:
9 goes into 51 5 times with a remainder of 6.
Write down 5 as next digit of of the result. 
Result so far: 10995
Subtract 45 from 51 to get 6.

The final result is 10995 with a remainder of 6.