89258 ÷ 6 = 14876 R2
Let's divide 89258 by 6.

Step 1:
6 goes into 8 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 8 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 6

Step 2:
6 goes into 29 4 times with a remainder of 5.
Write down 4 as next digit of of the result. 
Result so far: 14
Subtract 24 from 29 to get 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 6

Step 3:
6 goes into 52 8 times with a remainder of 4.
Write down 8 as next digit of of the result. 
Result so far: 148
Subtract 48 from 52 to get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 6

Step 4:
6 goes into 45 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 1487
Subtract 42 from 45 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 6

Step 5:
6 goes into 38 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 14876
Subtract 36 from 38 to get 2.

The final result is 14876 with a remainder of 2.