98291 ÷ 7 = 14041 R4
Alright, let's work through the division of 98291 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 (8) of the dividend behind the 2 and repeat the process: 28 / 7

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

Step 3:
7 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 140
Subtract 0 from 2 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 7

Step 4:
7 goes into 29 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 1404
Subtract 28 from 29 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 7

Step 5:
7 goes into 11 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 14041
Subtract 7 from 11 to get 4.

The final result is 14041 with a remainder of 4.