96361 ÷ 9 = 10706 R7
Alright, let's work through the division of 96361 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 (6) of the dividend behind the 0 and repeat the process: 6 / 9

Step 2:
9 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 6 to get 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 9

Step 3:
9 goes into 63 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 107
Subtract 63 from 63 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 9

Step 4:
9 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 1070
Subtract 0 from 6 to get 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 9

Step 5:
9 goes into 61 6 times with a remainder of 7.
Write down 6 as next digit of of the result. 
Result so far: 10706
Subtract 54 from 61 to get 7.

The final result is 10706 with a remainder of 7.