We look at the division of 510606 by 44 
Let's see how many times 44 fits into 510606.

Step 1:
44 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 44

Advancing to step 2:
The number 44 fits into 51 1 times, leaving a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 44 from 51 to get 7.
Take the next digit (0) from the dividend and append it to 7, then repeat: 70 / 44

On to step 3:
70 divided by 44 is 1 with a remainder of 26.
Use 1 as the next digit of our solution. 
Result so far: 11.0
The remainder is 26 after subtracting 44 from 70.
Include the next digit (6) from the dividend after 26, then repeat: 266 / 44

Going ahead to step 4:
The number 44 fits into 266 6 times, leaving a remainder of 2.
The next digit of our result is 6. 
Result so far: 116.0
If we take 264 away from 266, we end up with 2.
Grab the next digit (0) from the dividend, add it to 2, then carry on: 20 / 44

Step 5:
When dividing 20 by 44, we get 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 1160.0
Subtract 0 from 20 to get 20.
Grab the next digit (6) from the dividend, add it to 20, then carry on: 206 / 44

Step 6:
206 divided by 44 is 4 with a remainder of 30.
The number 4 becomes the next digit in our result. 
Result so far: 11604.0
If we subtract 176 from 206, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 7:
When dividing 300 by 44, we get 6 with a remainder of 36.
Use 6 as the next digit of our solution. 
Result so far: 11604.6
If we take 264 away from 300, we end up 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.

Going ahead to step 8:
360 divided by 44 is 8 with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 11604.68
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 9:
When dividing 80 by 44, we get 1 with a remainder of 36.
Write down 1 as next digit of the result. 
Result so far: 11604.681
If we subtract 44 from 80, we get 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 10:
If we divide 360 by 44, we get 8 and a remainder of 8.
The next digit of our result is 8. 
Result so far: 11604.6818
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.

On to step 11:
If we divide 80 by 44, we get 1 and a remainder of 36.
Put 1 as the next digit of the answer. 
Result so far: 11604.68181
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.

On to step 12:
360 divided by 44 is 8 with a remainder of 8.
The next digit of our result is 8. 
Result so far: 11604.681818
The remainder is 8 after subtracting 352 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 13:
80 divided by 44 is 1 with a remainder of 36.
Use 1 as the next digit of our solution. 
Result so far: 11604.6818181
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.

Going ahead to step 14:
The number 44 fits into 360 8 times, leaving a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 11604.68181818
Deduct 352 from 360 and we're left 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.

After the division, we end up with 11604.68181818 and a remainder of 8e-09.