12510 ÷ 8 = 1563 R6
Alright, let's work through the division of 12510 by 8 step by step.

Step 1:
8 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 8

Step 2:
8 goes into 12 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 8 from 12 to get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 8

Step 3:
8 goes into 45 5 times with a remainder of 5.
Write down 5 as next digit of of the result. 
Result so far: 15
Subtract 40 from 45 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 8

Step 4:
8 goes into 51 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 156
Subtract 48 from 51 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 8

Step 5:
8 goes into 30 3 times with a remainder of 6.
Write down 3 as next digit of of the result. 
Result so far: 1563
Subtract 24 from 30 to get 6.

The final result is 1563 with a remainder of 6.