98492 ÷ 8 = 12311 R4
Alright, let's work through the division of 98492 by 8 step by step.

Step 1:
8 goes into 9 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 8 from 9 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 8

Step 2:
8 goes into 18 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 16 from 18 to get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 8

Step 3:
8 goes into 24 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 123
Subtract 24 from 24 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 8

Step 4:
8 goes into 9 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1231
Subtract 8 from 9 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 8

Step 5:
8 goes into 12 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 12311
Subtract 8 from 12 to get 4.

The final result is 12311 with a remainder of 4.