Let's divide 676429 by 45
We're looking to find how many times 45 goes into 676429.

Step 1:
45 can be fit into 6 0 times, resulting in a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 45

Going ahead to step 2:
67 divided by 45 is 1 with a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 45 from 67 and we're left with 22.
Include the next digit (6) from the dividend after 22, then repeat: 226 / 45

Step 3:
When dividing 226 by 45, we get 5 with a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 15.0
If we take 225 away from 226, we end up with 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 45

Step 4:
45 can be fit into 14 0 times, resulting in a remainder of 14.
Record the quotient 0 as the next digit in the result. 
Result so far: 150.0
Subtract 0 from 14 to get 14.
Bring next digit (2) of the dividend behind the 14 and repeat the process: 142 / 45

On to step 5:
When dividing 142 by 45, we get 3 with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 1503.0
Deduct 135 from 142 and we're left with 7.
Take the next digit (9) from the dividend and append it to 7, then repeat: 79 / 45

Moving on to step 6:
45 goes into 79 1 times with a remainder of 34.
The number 1 becomes the next digit in our result. 
Result so far: 15031.0
Subtract 45 from 79 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 7:
The number 45 fits into 340 7 times, leaving a remainder of 25.
Record the quotient 7 as the next digit in the result. 
Result so far: 15031.7
Deduct 315 from 340 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 8:
If we divide 250 by 45, we get 5 and a remainder of 25.
The next digit of our result is 5. 
Result so far: 15031.75
Subtract 225 from 250 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 9:
The number 45 fits into 250 5 times, leaving a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 15031.755
If we take 225 away from 250, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Our division results in 15031.755 with a remaining 0.0025.