98959 ÷ 6 = 16493 R1
Alright, let's work through the division of 98959 by 6 step by step.

Step 1:
6 goes into 9 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 9 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 6

Step 2:
6 goes into 38 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 16
Subtract 36 from 38 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 6

Step 3:
6 goes into 29 4 times with a remainder of 5.
Write down 4 as next digit of of the result. 
Result so far: 164
Subtract 24 from 29 to get 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 6

Step 4:
6 goes into 55 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 1649
Subtract 54 from 55 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 6

Step 5:
6 goes into 19 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 16493
Subtract 18 from 19 to get 1.

The final result is 16493 with a remainder of 1.