97098 ÷ 4 = 24274 R2
Alright, let's work through the division of 97098 by 4 step by step.

Step 1:
4 goes into 9 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 8 from 9 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 4

Step 2:
4 goes into 17 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 24
Subtract 16 from 17 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 4

Step 3:
4 goes into 10 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 242
Subtract 8 from 10 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 4

Step 4:
4 goes into 29 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 2427
Subtract 28 from 29 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 4

Step 5:
4 goes into 18 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 24274
Subtract 16 from 18 to get 2.

The final result is 24274 with a remainder of 2.