Let's divide 676743 by 45
We're looking to find how many times 45 goes into 676743.

Moving on to step 1:
The number 45 fits into 6 0 times, leaving a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 45

Moving on to step 2:
If we divide 67 by 45, we get 1 and a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 22 after subtracting 45 from 67.
Bring next digit (6) of the dividend behind the 22 and repeat the process: 226 / 45

Let's proceed to step 3:
The number 45 fits into 226 5 times, leaving a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
Subtracting 225 from 226 leaves us with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 45

Going ahead to step 4:
When dividing 17 by 45, we get 0 with a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 150.0
Deduct 0 from 17 and we're left with 17.
Append the next digit (4) from the dividend to 17 and continue with: 174 / 45

Advancing to step 5:
If we divide 174 by 45, we get 3 and a remainder of 39.
Write down 3 as next digit of the result. 
Result so far: 1503.0
If we take 135 away from 174, we end up with 39.
Bring next digit (3) of the dividend behind the 39 and repeat the process: 393 / 45

On to step 6:
393 divided by 45 is 8 with a remainder of 33.
The number 8 becomes the next digit in our result. 
Result so far: 15038.0
If we subtract 360 from 393, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 7:
When dividing 330 by 45, we get 7 with a remainder of 15.
Use 7 as the next digit of our solution. 
Result so far: 15038.7
Subtract 315 from 330 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 8:
The number 45 fits into 150 3 times, leaving a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 15038.73
Subtracting 135 from 150 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 9:
The number 45 fits into 150 3 times, leaving a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 15038.733
Deduct 135 from 150 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The final result is 15038.733 with a remainder of 0.0015.