4344 ÷ 1 = 4344 R0
Alright, let's work through the division of 4344 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 (3) of the dividend behind the 0 and repeat the process: 3 / 1

Step 2:
1 goes into 3 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 43
Subtract 3 from 3 to get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 1

Step 3:
1 goes into 4 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 434
Subtract 4 from 4 to get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 1

Step 4:
1 goes into 4 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 4344
Subtract 4 from 4 to get 0.

The final result is 4344 with a remainder of 0.