37305 ÷ 6 = 6217 R3
We're going to perform division on 37305 with 6 as the divisor.

Step 1:
6 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 3 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 6

Step 2:
6 goes into 37 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 36 from 37 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 6

Step 3:
6 goes into 13 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 62
Subtract 12 from 13 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 6

Step 4:
6 goes into 10 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 621
Subtract 6 from 10 to get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 6

Step 5:
6 goes into 45 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 6217
Subtract 42 from 45 to get 3.

The final result is 6217 with a remainder of 3.