We look at the division of 44561 by 19 
Let's see how many times 19 fits into 44561.

Moving on to step 1:
19 can be fit into 4 0 times, resulting in a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (4) from the dividend and append it to 4, then repeat: 44 / 19

Let's proceed to step 2:
When dividing 44 by 19, we get 2 with a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
The remainder is 6 after subtracting 38 from 44.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 19

Moving on to step 3:
The number 19 fits into 65 3 times, leaving a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 23.0
The remainder is 8 after subtracting 57 from 65.
Grab the next digit (6) from the dividend, add it to 8, then carry on: 86 / 19

Let's proceed to step 4:
19 can be fit into 86 4 times, resulting in a remainder of 10.
The next digit of our result is 4. 
Result so far: 234.0
The remainder is 10 after subtracting 76 from 86.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 19

On to step 5:
When dividing 101 by 19, we get 5 with a remainder of 6.
The number 5 becomes the next digit in our result. 
Result so far: 2345.0
Subtract 95 from 101 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 6:
If we divide 60 by 19, we get 3 and a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 2345.3
If we take 57 away from 60, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
The number 19 fits into 30 1 times, leaving a remainder of 11.
The next digit of our result is 1. 
Result so far: 2345.31
The remainder is 11 after subtracting 19 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 8:
The number 19 fits into 110 5 times, leaving a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 2345.315
If we subtract 95 from 110, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 9:
The number 19 fits into 150 7 times, leaving a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 2345.3157
If we take 133 away from 150, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 10:
The number 19 fits into 170 8 times, leaving a remainder of 18.
Use 8 as the next digit of our solution. 
Result so far: 2345.31578
Subtract 152 from 170 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 11:
180 divided by 19 is 9 with a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 2345.315789
The remainder is 9 after subtracting 171 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 12:
19 can be fit into 90 4 times, resulting in a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 2345.3157894
Deduct 76 from 90 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 13:
The number 19 fits into 140 7 times, leaving a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 2345.31578947
If we take 133 away from 140, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final result is 2345.31578947 with a remainder of 7e-09.