5098 ÷ 2 = 2549 R0
Alright, let's work through the division of 5098 by 2 step by step.

Step 1:
2 goes into 5 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 4 from 5 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 2

Step 2:
2 goes into 10 5 times with a remainder of 0.
Write down 5 as next digit of of the result. 
Result so far: 25
Subtract 10 from 10 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 2

Step 3:
2 goes into 9 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 254
Subtract 8 from 9 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 2

Step 4:
2 goes into 18 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 2549
Subtract 18 from 18 to get 0.

The final result is 2549 with a remainder of 0.