8537 ÷ 7 = 1219 R4
Alright, let's work through the division of 8537 by 7 step by step.

Step 1:
7 goes into 8 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 7 from 8 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 7

Step 2:
7 goes into 15 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 14 from 15 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 7

Step 3:
7 goes into 13 1 times with a remainder of 6.
Write down 1 as next digit of of the result. 
Result so far: 121
Subtract 7 from 13 to get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 7

Step 4:
7 goes into 67 9 times with a remainder of 4.
Write down 9 as next digit of of the result. 
Result so far: 1219
Subtract 63 from 67 to get 4.

The final result is 1219 with a remainder of 4.