We're dividing 590553 by 44 
Our goal is to divide 590553 by 44.

Step 1:
5 divided by 44 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 44

Step 2:
The number 44 fits into 59 1 times, leaving a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 44 away from 59, we end up with 15.
Take the next digit (0) from the dividend and append it to 15, then repeat: 150 / 44

Let's proceed to step 3:
The number 44 fits into 150 3 times, leaving a remainder of 18.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Subtracting 132 from 150 leaves us with 18.
Include the next digit (5) from the dividend after 18, then repeat: 185 / 44

On to step 4:
185 divided by 44 is 4 with a remainder of 9.
Write down 4 as next digit of the result. 
Result so far: 134.0
If we take 176 away from 185, we end up with 9.
Include the next digit (5) from the dividend after 9, then repeat: 95 / 44

Advancing to step 5:
If we divide 95 by 44, we get 2 and a remainder of 7.
The number 2 becomes the next digit in our result. 
Result so far: 1342.0
If we subtract 88 from 95, we get 7.
Grab the next digit (3) from the dividend, add it to 7, then carry on: 73 / 44

Advancing to step 6:
If we divide 73 by 44, we get 1 and a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 13421.0
If we take 44 away from 73, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 7:
44 goes into 290 6 times with a remainder of 26.
Write down 6 as next digit of the result. 
Result so far: 13421.6
The remainder is 26 after subtracting 264 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 8:
44 can be fit into 260 5 times, resulting in a remainder of 40.
Record the quotient 5 as the next digit in the result. 
Result so far: 13421.65
Subtracting 220 from 260 leaves us 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.

Advancing to step 9:
44 goes into 400 9 times with a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 13421.659
Deduct 396 from 400 and we're left 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 10:
44 goes into 40 0 times with a remainder of 40.
The next digit of our result is 0. 
Result so far: 13421.659
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.

Step 11:
The number 44 fits into 400 9 times, leaving a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 13421.65909
Subtract 396 from 400 to 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.

Let's proceed to step 12:
If we divide 40 by 44, we get 0 and a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 13421.65909
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.

Step 13:
When dividing 400 by 44, we get 9 with a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 13421.6590909
Subtract 396 from 400 to 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.

Going ahead to step 14:
When dividing 40 by 44, we get 0 with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 13421.6590909
Subtracting 0 from 40 leaves us 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.

The quotient of the division is 13421.6590909, and the remainder is 4e-08.