821138 ÷ 44 
Our goal is to divide 821138 by 44.

Advancing to step 1:
44 can be fit into 8 0 times, resulting in a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 44

Let's proceed to step 2:
82 divided by 44 is 1 with a remainder of 38.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 44 away from 82, we end up with 38.
Append the next digit (1) from the dividend to 38 and continue with: 381 / 44

Moving on to step 3:
44 can be fit into 381 8 times, resulting in a remainder of 29.
Record the quotient 8 as the next digit in the result. 
Result so far: 18.0
If we subtract 352 from 381, we get 29.
Append the next digit (1) from the dividend to 29 and continue with: 291 / 44

Going ahead to step 4:
If we divide 291 by 44, we get 6 and a remainder of 27.
Write down 6 as next digit of the result. 
Result so far: 186.0
The remainder is 27 after subtracting 264 from 291.
Bring next digit (3) of the dividend behind the 27 and repeat the process: 273 / 44

Let's proceed to step 5:
The number 44 fits into 273 6 times, leaving a remainder of 9.
Record the quotient 6 as the next digit in the result. 
Result so far: 1866.0
If we take 264 away from 273, we end up with 9.
Grab the next digit (8) from the dividend, add it to 9, then carry on: 98 / 44

Going ahead to step 6:
If we divide 98 by 44, we get 2 and a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 18662.0
Subtract 88 from 98 to get 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 7:
If we divide 100 by 44, we get 2 and a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 18662.2
Deduct 88 from 100 and we're left 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.

On to step 8:
44 goes into 120 2 times with a remainder of 32.
Write down 2 as next digit of the result. 
Result so far: 18662.22
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.

The final outcome is 18662.22, with a leftover of 0.032.