We look at the division of 506513 by 44 
We're looking to find how many times 44 goes into 506513.

Advancing to step 1:
5 divided by 44 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 44

Advancing to step 2:
44 can be fit into 50 1 times, resulting in a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 44 from 50 leaves us with 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 44

Advancing to step 3:
44 can be fit into 66 1 times, resulting in a remainder of 22.
The next digit of our result is 1. 
Result so far: 11.0
Deduct 44 from 66 and we're left with 22.
Fetch the next digit (5) from the dividend, attach it to 22 and continue: 225 / 44

Advancing to step 4:
When dividing 225 by 44, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 115.0
Deduct 220 from 225 and we're left with 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 44

Advancing to step 5:
When dividing 51 by 44, we get 1 with a remainder of 7.
The next digit of our result is 1. 
Result so far: 1151.0
The remainder is 7 after subtracting 44 from 51.
Append the next digit (3) from the dividend to 7 and continue with: 73 / 44

Going ahead to step 6:
73 divided by 44 is 1 with a remainder of 29.
The next digit of our result is 1. 
Result so far: 11511.0
Subtracting 44 from 73 leaves us 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.

Going ahead to step 7:
If we divide 290 by 44, we get 6 and a remainder of 26.
The next digit of our result is 6. 
Result so far: 11511.6
If we take 264 away from 290, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 8:
When dividing 260 by 44, we get 5 with a remainder of 40.
Record the quotient 5 as the next digit in the result. 
Result so far: 11511.65
If we subtract 220 from 260, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 9:
400 divided by 44 is 9 with a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 11511.659
The remainder is 4 after subtracting 396 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 10:
If we divide 40 by 44, we get 0 and a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 11511.659
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.

Advancing to step 11:
If we divide 400 by 44, we get 9 and a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 11511.65909
The remainder is 4 after subtracting 396 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 12:
40 divided by 44 is 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 11511.65909
Subtract 0 from 40 to get 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 13:
The number 44 fits into 400 9 times, leaving a remainder of 4.
The next digit of our result is 9. 
Result so far: 11511.6590909
Subtracting 396 from 400 leaves us 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 14:
44 can be fit into 40 0 times, resulting in a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 11511.6590909
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

In conclusion, the division gives 11511.6590909 with a balance of 4e-08.