603127 ÷ 44 
Let's see how many times 44 fits into 603127.

Moving on to step 1:
6 divided by 44 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (0) from the dividend to 6 and continue with: 60 / 44

Advancing to step 2:
If we divide 60 by 44, we get 1 and a remainder of 16.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 44 from 60 leaves us with 16.
Include the next digit (3) from the dividend after 16, then repeat: 163 / 44

Advancing to step 3:
The number 44 fits into 163 3 times, leaving a remainder of 31.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
If we subtract 132 from 163, we get 31.
Fetch the next digit (1) from the dividend, attach it to 31 and continue: 311 / 44

Step 4:
44 can be fit into 311 7 times, resulting in a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 137.0
Deduct 308 from 311 and we're left with 3.
Include the next digit (2) from the dividend after 3, then repeat: 32 / 44

Advancing to step 5:
The number 44 fits into 32 0 times, leaving a remainder of 32.
The next digit of our result is 0. 
Result so far: 1370.0
Subtracting 0 from 32 leaves us with 32.
Grab the next digit (7) from the dividend, add it to 32, then carry on: 327 / 44

Step 6:
327 divided by 44 is 7 with a remainder of 19.
Record the quotient 7 as the next digit in the result. 
Result so far: 13707.0
If we take 308 away from 327, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 7:
44 goes into 190 4 times with a remainder of 14.
Record the quotient 4 as the next digit in the result. 
Result so far: 13707.4
If we subtract 176 from 190, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 8:
44 can be fit into 140 3 times, resulting in a remainder of 8.
The number 3 becomes the next digit in our result. 
Result so far: 13707.43
The remainder is 8 after subtracting 132 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 9:
44 can be fit into 80 1 times, resulting in a remainder of 36.
The number 1 becomes the next digit in our result. 
Result so far: 13707.431
Deduct 44 from 80 and we're left 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.

Advancing to step 10:
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: 13707.4318
If we take 352 away from 360, we end up 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.

Going ahead to step 11:
44 goes into 80 1 times with a remainder of 36.
The number 1 becomes the next digit in our result. 
Result so far: 13707.43181
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.

Advancing to step 12:
The number 44 fits into 360 8 times, leaving a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 13707.431818
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 13:
The number 44 fits into 80 1 times, leaving a remainder of 36.
Write down 1 as next digit of the result. 
Result so far: 13707.4318181
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 14:
The number 44 fits into 360 8 times, leaving a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 13707.43181818
If we subtract 352 from 360, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final outcome is 13707.43181818, with a leftover of 8e-09.