Let's divide 344824 by 45
We're looking to find how many times 45 goes into 344824.

Step 1:
3 divided by 45 is 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 45

Going ahead to step 2:
When dividing 34 by 45, we get 0 with a remainder of 34.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 34, we get 34.
Grab the next digit (4) from the dividend, add it to 34, then carry on: 344 / 45

Going ahead to step 3:
If we divide 344 by 45, we get 7 and a remainder of 29.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
The remainder is 29 after subtracting 315 from 344.
Grab the next digit (8) from the dividend, add it to 29, then carry on: 298 / 45

Step 4:
If we divide 298 by 45, we get 6 and a remainder of 28.
Write down 6 as next digit of the result. 
Result so far: 76.0
Subtract 270 from 298 to get 28.
Fetch the next digit (2) from the dividend, attach it to 28 and continue: 282 / 45

Let's proceed to step 5:
The number 45 fits into 282 6 times, leaving a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 766.0
The remainder is 12 after subtracting 270 from 282.
Append the next digit (4) from the dividend to 12 and continue with: 124 / 45

Let's proceed to step 6:
45 can be fit into 124 2 times, resulting in a remainder of 34.
Use 2 as the next digit of our solution. 
Result so far: 7662.0
Subtract 90 from 124 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.

Going ahead to step 7:
340 divided by 45 is 7 with a remainder of 25.
Record the quotient 7 as the next digit in the result. 
Result so far: 7662.7
The remainder is 25 after subtracting 315 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 8:
45 goes into 250 5 times with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 7662.75
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.

On to step 9:
If we divide 250 by 45, we get 5 and a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 7662.755
The remainder is 25 after subtracting 225 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

In conclusion, the division gives 7662.755 with a balance of 0.0025.