4159 ÷ 1 = 4159 R0
Alright, let's work through the division of 4159 by 1 step by step.

Step 1:
1 goes into 4 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 4 from 4 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 1

Step 2:
1 goes into 1 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 41
Subtract 1 from 1 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 1

Step 3:
1 goes into 5 5 times with a remainder of 0.
Write down 5 as next digit of of the result. 
Result so far: 415
Subtract 5 from 5 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 1

Step 4:
1 goes into 9 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 4159
Subtract 9 from 9 to get 0.

The final result is 4159 with a remainder of 0.