8676 divided by 45 
Our goal is to divide 8676 by 45.

Let's proceed to step 1:
45 goes into 8 0 times with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Append the next digit (6) from the dividend to 8 and continue with: 86 / 45

Going ahead to step 2:
If we divide 86 by 45, we get 1 and a remainder of 41.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 45 away from 86, we end up with 41.
Include the next digit (7) from the dividend after 41, then repeat: 417 / 45

Moving on to step 3:
45 goes into 417 9 times with a remainder of 12.
The number 9 becomes the next digit in our result. 
Result so far: 19.0
Deduct 405 from 417 and we're left with 12.
Take the next digit (6) from the dividend and append it to 12, then repeat: 126 / 45

Advancing to step 4:
The number 45 fits into 126 2 times, leaving a remainder of 36.
Put 2 as the next digit of the answer. 
Result so far: 192.0
Subtracting 90 from 126 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 5:
If we divide 360 by 45, we get 8 and a remainder of 0.
The number 8 becomes the next digit in our result. 
Result so far: 192.8
The remainder is 0 after subtracting 360 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 6:
If we divide 0 by 45, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 192.8
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 7:
The number 45 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 192.8
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 192.8, and the remainder is 0.0.