35296 ÷ 3 = 11765 R1
Alright, let's work through the division of 35296 by 3 step by step.

Step 1:
3 goes into 3 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 3 from 3 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 3

Step 2:
3 goes into 5 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 11
Subtract 3 from 5 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 3

Step 3:
3 goes into 22 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 117
Subtract 21 from 22 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 3

Step 4:
3 goes into 19 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 1176
Subtract 18 from 19 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 3

Step 5:
3 goes into 16 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 11765
Subtract 15 from 16 to get 1.

The final result is 11765 with a remainder of 1.