96961 ÷ 5 = 19392 R1
Alright, let's work through the division of 96961 by 5 step by step.

Step 1:
5 goes into 9 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 5 from 9 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 5

Step 2:
5 goes into 46 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 19
Subtract 45 from 46 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 5

Step 3:
5 goes into 19 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 193
Subtract 15 from 19 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 5

Step 4:
5 goes into 46 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 1939
Subtract 45 from 46 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 5

Step 5:
5 goes into 11 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 19392
Subtract 10 from 11 to get 1.

The final result is 19392 with a remainder of 1.