53311 ÷ 3 = 17770 R1
Alright, let's work through the division of 53311 by 3 step by step.

Step 1:
3 goes into 5 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 3 from 5 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 3

Step 2:
3 goes into 23 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 17
Subtract 21 from 23 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 3

Step 3:
3 goes into 23 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 177
Subtract 21 from 23 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 3

Step 4:
3 goes into 21 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 1777
Subtract 21 from 21 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 3

Step 5:
3 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 17770
Subtract 0 from 1 to get 1.

The final result is 17770 with a remainder of 1.