14675 ÷ 8 = 1834 R3
Alright, let's work through the division of 14675 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 (4) of the dividend behind the 1 and repeat the process: 14 / 8

Step 2:
8 goes into 14 1 times with a remainder of 6.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 8 from 14 to get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 8

Step 3:
8 goes into 66 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 18
Subtract 64 from 66 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 8

Step 4:
8 goes into 27 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 183
Subtract 24 from 27 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 8

Step 5:
8 goes into 35 4 times with a remainder of 3.
Write down 4 as next digit of of the result. 
Result so far: 1834
Subtract 32 from 35 to get 3.

The final result is 1834 with a remainder of 3.