37336 ÷ 2 = 18668 R0
Alright, let's work through the division of 37336 by 2 step by step.

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 (7) of the dividend behind the 1 and repeat the process: 17 / 2

Step 2:
2 goes into 17 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 18
Subtract 16 from 17 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 2

Step 3:
2 goes into 13 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 186
Subtract 12 from 13 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: 1866
Subtract 12 from 13 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 2

Step 5:
2 goes into 16 8 times with a remainder of 0.
Write down 8 as next digit of of the result. 
Result so far: 18668
Subtract 16 from 16 to get 0.

The final result is 18668 with a remainder of 0.