37387 ÷ 6 = 6231 R1
No problem, we've got 37387 and 6 for the division.

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 (8) of the dividend behind the 1 and repeat the process: 18 / 6

Step 4:
6 goes into 18 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 623
Subtract 18 from 18 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 6

Step 5:
6 goes into 7 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 6231
Subtract 6 from 7 to get 1.

The final result is 6231 with a remainder of 1.