269501 ÷ 44 
We want to figure out the number of times 269501 can be divided by 44.

Step 1:
The number 44 fits into 2 0 times, leaving a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 44

Advancing to step 2:
If we divide 26 by 44, we get 0 and a remainder of 26.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 26 after subtracting 0 from 26.
Append the next digit (9) from the dividend to 26 and continue with: 269 / 44

On to step 3:
44 goes into 269 6 times with a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
The remainder is 5 after subtracting 264 from 269.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 44

Let's proceed to step 4:
If we divide 55 by 44, we get 1 and a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 61.0
If we take 44 away from 55, we end up with 11.
Append the next digit (0) from the dividend to 11 and continue with: 110 / 44

Step 5:
44 goes into 110 2 times with a remainder of 22.
Use 2 as the next digit of our solution. 
Result so far: 612.0
The remainder is 22 after subtracting 88 from 110.
Include the next digit (1) from the dividend after 22, then repeat: 221 / 44

Let's proceed to step 6:
If we divide 221 by 44, we get 5 and a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 6125.0
The remainder is 1 after subtracting 220 from 221.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
The number 44 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 6125.0
Deduct 0 from 10 and we're left 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.

Moving on to step 8:
When dividing 100 by 44, we get 2 with a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 6125.02
Subtracting 88 from 100 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 9:
44 goes into 120 2 times with a remainder of 32.
Write down 2 as next digit of the result. 
Result so far: 6125.022
If we subtract 88 from 120, we 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 6125.022 and a remainder of 0.0032.