33877 ÷ 2 = 16938 R1
Let's divide 33877 by 2.

Step 1:
2 goes into 3 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 2 from 3 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: 16
Subtract 12 from 13 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 2

Step 3:
2 goes into 18 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 169
Subtract 18 from 18 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 2

Step 4:
2 goes into 7 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 1693
Subtract 6 from 7 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 2

Step 5:
2 goes into 17 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 16938
Subtract 16 from 17 to get 1.

The final result is 16938 with a remainder of 1.