15955 ÷ 6 = 2659 R1
Let's divide 15955 by 6.

Step 1:
6 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 6

Step 2:
6 goes into 15 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 12 from 15 to get 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 6

Step 3:
6 goes into 39 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 26
Subtract 36 from 39 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 6

Step 4:
6 goes into 35 5 times with a remainder of 5.
Write down 5 as next digit of of the result. 
Result so far: 265
Subtract 30 from 35 to get 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 6

Step 5:
6 goes into 55 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 2659
Subtract 54 from 55 to get 1.

The final result is 2659 with a remainder of 1.