Let's divide 676144 by 45
We want to divide 676144 by 45.

Step 1:
6 divided by 45 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 45

Advancing to step 2:
45 goes into 67 1 times with a remainder of 22.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 22 after subtracting 45 from 67.
Take the next digit (6) from the dividend and append it to 22, then repeat: 226 / 45

On to step 3:
If we divide 226 by 45, we get 5 and a remainder of 1.
The next digit of our result is 5. 
Result so far: 15.0
If we subtract 225 from 226, we get 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 45

Going ahead to step 4:
11 divided by 45 is 0 with a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 150.0
Subtract 0 from 11 to get 11.
Fetch the next digit (4) from the dividend, attach it to 11 and continue: 114 / 45

Let's proceed to step 5:
114 divided by 45 is 2 with a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 1502.0
If we take 90 away from 114, we end up with 24.
Fetch the next digit (4) from the dividend, attach it to 24 and continue: 244 / 45

On to step 6:
244 divided by 45 is 5 with a remainder of 19.
The next digit of our result is 5. 
Result so far: 15025.0
Subtracting 225 from 244 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 7:
When dividing 190 by 45, we get 4 with a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 15025.4
The remainder is 10 after subtracting 180 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
If we divide 100 by 45, we get 2 and a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 15025.42
Subtract 90 from 100 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 9:
100 divided by 45 is 2 with a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 15025.422
Subtract 90 from 100 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

After the division, we end up with 15025.422 and a remainder of 0.001.