5353 ÷ 2 = 2676 R1
Alright, let's work through the division of 5353 by 2 step by step.

Step 1:
2 goes into 5 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 4 from 5 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 2

Step 2:
2 goes into 13 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 26
Subtract 12 from 13 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 2

Step 3:
2 goes into 15 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 267
Subtract 14 from 15 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 2

Step 4:
2 goes into 13 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 2676
Subtract 12 from 13 to get 1.

The final result is 2676 with a remainder of 1.