91859 ÷ 6 = 15309 R5
Let's divide 91859 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 (1) of the dividend behind the 3 and repeat the process: 31 / 6

Step 2:
6 goes into 31 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 15
Subtract 30 from 31 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 6

Step 3:
6 goes into 18 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 153
Subtract 18 from 18 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 6

Step 4:
6 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 1530
Subtract 0 from 5 to get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 6

Step 5:
6 goes into 59 9 times with a remainder of 5.
Write down 9 as next digit of of the result. 
Result so far: 15309
Subtract 54 from 59 to get 5.

The final result is 15309 with a remainder of 5.