36872 ÷ 7 = 5267 R3
Alright, let's work through the division of 36872 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 (6) of the dividend behind the 3 and repeat the process: 36 / 7

Step 2:
7 goes into 36 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 35 from 36 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 7

Step 3:
7 goes into 18 2 times with a remainder of 4.
Write down 2 as next digit of of the result. 
Result so far: 52
Subtract 14 from 18 to get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 7

Step 4:
7 goes into 47 6 times with a remainder of 5.
Write down 6 as next digit of of the result. 
Result so far: 526
Subtract 42 from 47 to get 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 7

Step 5:
7 goes into 52 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 5267
Subtract 49 from 52 to get 3.

The final result is 5267 with a remainder of 3.