98414 ÷ 7 = 14059 R1
Let's divide 98414 by 7.

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 (4) of the dividend behind the 0 and repeat the process: 4 / 7

Step 3:
7 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 140
Subtract 0 from 4 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 7

Step 4:
7 goes into 41 5 times with a remainder of 6.
Write down 5 as next digit of of the result. 
Result so far: 1405
Subtract 35 from 41 to get 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 7

Step 5:
7 goes into 64 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 14059
Subtract 63 from 64 to get 1.

The final result is 14059 with a remainder of 1.