4374 ÷ 3 = 1458 R0
Alright, let's work through the division of 4374 by 3 step by step.

Step 1:
3 goes into 4 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 3 from 4 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 3

Step 2:
3 goes into 13 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 14
Subtract 12 from 13 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 3

Step 3:
3 goes into 17 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 145
Subtract 15 from 17 to get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 3

Step 4:
3 goes into 24 8 times with a remainder of 0.
Write down 8 as next digit of of the result. 
Result so far: 1458
Subtract 24 from 24 to get 0.

The final result is 1458 with a remainder of 0.