16069 ÷ 6 = 2678 R1
We're going to perform division on 16069 with 6 as the divisor.

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 (6) of the dividend behind the 1 and repeat the process: 16 / 6

Step 2:
6 goes into 16 2 times with a remainder of 4.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 12 from 16 to get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 6

Step 3:
6 goes into 40 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 26
Subtract 36 from 40 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 6

Step 4:
6 goes into 46 7 times with a remainder of 4.
Write down 7 as next digit of of the result. 
Result so far: 267
Subtract 42 from 46 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: 2678
Subtract 48 from 49 to get 1.

The final result is 2678 with a remainder of 1.