13434 ÷ 4 = 3358 R2
We're going to perform division on 13434 with 4 as the divisor.

Step 1:
4 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 / 4

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

Step 3:
4 goes into 14 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 33
Subtract 12 from 14 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 4

Step 4:
4 goes into 23 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 335
Subtract 20 from 23 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 4

Step 5:
4 goes into 34 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 3358
Subtract 32 from 34 to get 2.

The final result is 3358 with a remainder of 2.