13430 ÷ 3 = 4476 R2
Let's divide 13430 by 3.

Step 1:
3 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 (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: 4
Subtract 12 from 13 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 3

Step 3:
3 goes into 14 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 44
Subtract 12 from 14 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 3

Step 4:
3 goes into 23 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 447
Subtract 21 from 23 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 3

Step 5:
3 goes into 20 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 4476
Subtract 18 from 20 to get 2.

The final result is 4476 with a remainder of 2.