We're dividing 314145 by 44 
Our goal is to divide 314145 by 44.

Going ahead to step 1:
3 divided by 44 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 44

Advancing to step 2:
The number 44 fits into 31 0 times, leaving a remainder of 31.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 31, we end up with 31.
Append the next digit (4) from the dividend to 31 and continue with: 314 / 44

Let's proceed to step 3:
If we divide 314 by 44, we get 7 and a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we subtract 308 from 314, we get 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 44

Going ahead to step 4:
61 divided by 44 is 1 with a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 71.0
Deduct 44 from 61 and we're left with 17.
Append the next digit (4) from the dividend to 17 and continue with: 174 / 44

Going ahead to step 5:
If we divide 174 by 44, we get 3 and a remainder of 42.
Record the quotient 3 as the next digit in the result. 
Result so far: 713.0
If we subtract 132 from 174, we get 42.
Bring next digit (5) of the dividend behind the 42 and repeat the process: 425 / 44

Step 6:
44 can be fit into 425 9 times, resulting in a remainder of 29.
Put 9 as the next digit of the answer. 
Result so far: 7139.0
The remainder is 29 after subtracting 396 from 425.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 7:
The number 44 fits into 290 6 times, leaving a remainder of 26.
Write down 6 as next digit of the result. 
Result so far: 7139.6
If we take 264 away from 290, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 8:
If we divide 260 by 44, we get 5 and a remainder of 40.
The next digit of our result is 5. 
Result so far: 7139.65
If we take 220 away from 260, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 9:
The number 44 fits into 400 9 times, leaving a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 7139.659
If we subtract 396 from 400, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 10:
44 can be fit into 40 0 times, resulting in a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 7139.659
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 11:
44 goes into 400 9 times with a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 7139.65909
Subtracting 396 from 400 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 12:
The number 44 fits into 40 0 times, leaving a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 7139.65909
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 13:
The number 44 fits into 400 9 times, leaving a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 7139.6590909
The remainder is 4 after subtracting 396 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 14:
44 goes into 40 0 times with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 7139.6590909
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final result is 7139.6590909 with a remainder of 4e-08.