99098 ÷ 7 = 14156 R6
Alright, let's work through the division of 99098 by 7 step by step.

Step 1:
7 goes into 9 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 7 from 9 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 7

Step 2:
7 goes into 29 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 14
Subtract 28 from 29 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 7

Step 3:
7 goes into 10 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 141
Subtract 7 from 10 to get 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 7

Step 4:
7 goes into 39 5 times with a remainder of 4.
Write down 5 as next digit of of the result. 
Result so far: 1415
Subtract 35 from 39 to get 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 7

Step 5:
7 goes into 48 6 times with a remainder of 6.
Write down 6 as next digit of of the result. 
Result so far: 14156
Subtract 42 from 48 to get 6.

The final result is 14156 with a remainder of 6.