13495 ÷ 4 = 3373 R3
Alright, let's work through the division of 13495 by 4 step by step.

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 (9) of the dividend behind the 2 and repeat the process: 29 / 4

Step 4:
4 goes into 29 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 337
Subtract 28 from 29 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 4

Step 5:
4 goes into 15 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 3373
Subtract 12 from 15 to get 3.

The final result is 3373 with a remainder of 3.