We're dividing 506969 by 44 
We're looking to find how many times 44 goes into 506969.

On to step 1:
If we divide 5 by 44, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 44

Step 2:
If we divide 50 by 44, we get 1 and a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 44 from 50 and we're left with 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 44

On to step 3:
The number 44 fits into 66 1 times, leaving a remainder of 22.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Subtract 44 from 66 to get 22.
Take the next digit (9) from the dividend and append it to 22, then repeat: 229 / 44

Moving on to step 4:
When dividing 229 by 44, we get 5 with a remainder of 9.
Use 5 as the next digit of our solution. 
Result so far: 115.0
Subtract 220 from 229 to get 9.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 44

Advancing to step 5:
44 goes into 96 2 times with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 1152.0
If we subtract 88 from 96, we get 8.
Take the next digit (9) from the dividend and append it to 8, then repeat: 89 / 44

On to step 6:
44 goes into 89 2 times with a remainder of 1.
The next digit of our result is 2. 
Result so far: 11522.0
Deduct 88 from 89 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
44 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 11522.0
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
If we divide 100 by 44, we get 2 and a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 11522.02
The remainder is 12 after subtracting 88 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 9:
The number 44 fits into 120 2 times, leaving a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 11522.022
Subtract 88 from 120 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

After the division, we end up with 11522.022 and a remainder of 0.0032.