434618 ÷ 44 
Our goal is to divide 434618 by 44.

Advancing to step 1:
If we divide 4 by 44, we get 0 and a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 44

On to step 2:
44 can be fit into 43 0 times, resulting in a remainder of 43.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 43, we end up with 43.
Grab the next digit (4) from the dividend, add it to 43, then carry on: 434 / 44

Step 3:
When dividing 434 by 44, we get 9 with a remainder of 38.
The next digit of our result is 9. 
Result so far: 9.0
Subtracting 396 from 434 leaves us with 38.
Grab the next digit (6) from the dividend, add it to 38, then carry on: 386 / 44

Going ahead to step 4:
The number 44 fits into 386 8 times, leaving a remainder of 34.
The next digit of our result is 8. 
Result so far: 98.0
The remainder is 34 after subtracting 352 from 386.
Grab the next digit (1) from the dividend, add it to 34, then carry on: 341 / 44

On to step 5:
When dividing 341 by 44, we get 7 with a remainder of 33.
Write down 7 as next digit of the result. 
Result so far: 987.0
The remainder is 33 after subtracting 308 from 341.
Grab the next digit (8) from the dividend, add it to 33, then carry on: 338 / 44

Let's proceed to step 6:
44 goes into 338 7 times with a remainder of 30.
The next digit of our result is 7. 
Result so far: 9877.0
Subtract 308 from 338 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 7:
300 divided by 44 is 6 with a remainder of 36.
Put 6 as the next digit of the answer. 
Result so far: 9877.6
Subtract 264 from 300 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 8:
44 can be fit into 360 8 times, resulting in a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 9877.68
Subtracting 352 from 360 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 9:
44 goes into 80 1 times with a remainder of 36.
Use 1 as the next digit of our solution. 
Result so far: 9877.681
Subtracting 44 from 80 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.

Let's proceed to step 10:
The number 44 fits into 360 8 times, leaving a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 9877.6818
The remainder is 8 after subtracting 352 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 11:
80 divided by 44 is 1 with a remainder of 36.
Put 1 as the next digit of the answer. 
Result so far: 9877.68181
If we subtract 44 from 80, we get 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 12:
44 goes into 360 8 times with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 9877.681818
Deduct 352 from 360 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 13:
If we divide 80 by 44, we get 1 and a remainder of 36.
Use 1 as the next digit of our solution. 
Result so far: 9877.6818181
The remainder is 36 after subtracting 44 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 14:
When dividing 360 by 44, we get 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 9877.68181818
The remainder is 8 after subtracting 352 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

After the division, we end up with 9877.68181818 and a remainder of 8e-09.