37580 ÷ 2 = 18790 R0
Alright, let's work through the division of 37580 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 (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: 187
Subtract 14 from 15 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 2

Step 4:
2 goes into 18 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 1879
Subtract 18 from 18 to get 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 2

Step 5:
2 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of of the result. 
Result so far: 18790
Subtract 0 from 0 to get 0.

The final result is 18790 with a remainder of 0.