37386 ÷ 7 = 5340 R6
Alright, let's work through the division of 37386 by 7 step by step.

Step 1:
7 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 / 7

Step 2:
7 goes into 37 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 35 from 37 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 7

Step 3:
7 goes into 23 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 53
Subtract 21 from 23 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 7

Step 4:
7 goes into 28 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 534
Subtract 28 from 28 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 7

Step 5:
7 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 5340
Subtract 0 from 6 to get 6.

The final result is 5340 with a remainder of 6.