We divide 314126 by 44
Our goal is to divide 314126 by 44.

Step 1:
3 divided by 44 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 44

Going ahead to step 2:
44 can be fit into 31 0 times, resulting in a remainder of 31.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 31 and we're left with 31.
Include the next digit (4) from the dividend after 31, then repeat: 314 / 44

Let's proceed to step 3:
When dividing 314 by 44, we get 7 with a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we take 308 away from 314, we end up with 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 44

Advancing to step 4:
If we divide 61 by 44, we get 1 and a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 71.0
If we subtract 44 from 61, we get 17.
Fetch the next digit (2) from the dividend, attach it to 17 and continue: 172 / 44

Advancing to step 5:
If we divide 172 by 44, we get 3 and a remainder of 40.
Use 3 as the next digit of our solution. 
Result so far: 713.0
If we take 132 away from 172, we end up with 40.
Take the next digit (6) from the dividend and append it to 40, then repeat: 406 / 44

Let's proceed to step 6:
When dividing 406 by 44, we get 9 with a remainder of 10.
Write down 9 as next digit of the result. 
Result so far: 7139.0
The remainder is 10 after subtracting 396 from 406.
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 7:
If we divide 100 by 44, we get 2 and a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 7139.2
Subtract 88 from 100 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 8:
44 can be fit into 120 2 times, resulting in a remainder of 32.
The number 2 becomes the next digit in our result. 
Result so far: 7139.22
Subtract 88 from 120 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Our division results in 7139.22 with a remaining 0.032.