93289 ÷ 6 = 15548 R1
Let's divide 93289 by 6.

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 (3) of the dividend behind the 3 and repeat the process: 33 / 6

Step 2:
6 goes into 33 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 15
Subtract 30 from 33 to get 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 6

Step 3:
6 goes into 32 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 155
Subtract 30 from 32 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 6

Step 4:
6 goes into 28 4 times with a remainder of 4.
Write down 4 as next digit of of the result. 
Result so far: 1554
Subtract 24 from 28 to get 4.
Bring next digit (9) of the dividend behind the 4 and repeat the process: 49 / 6

Step 5:
6 goes into 49 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 15548
Subtract 48 from 49 to get 1.

The final result is 15548 with a remainder of 1.